Listing 1 - 10 of 28 | << page >> |
Sort by
|
Choose an application
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners. .
Differential equations, partial. --- Functional analysis. --- Functional differential equations. --- Functions, special. --- Mathematics. --- Functional differential equations --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations --- Oscillation theory. --- 517.91 Differential equations --- Partial differential equations. --- Special functions. --- Partial Differential Equations. --- Special Functions. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Special functions --- Mathematical analysis --- Partial differential equations
Choose an application
Choose an application
The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In this volume, authors Gupta and Agarwal explore new and more efficient methods of applying this research to studies in Optimization and Analysis. The text will be of interest to upper-level students seeking an introduction to the field and to researchers developing innovative approaches.
Approximation theory. --- Differential equations, partial. --- Global analysis (Mathematics). --- Harmonic analysis. --- Mathematics. --- Operator theory. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Theory of approximation --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Approximations and Expansions. --- Operator Theory. --- Analysis. --- Partial Differential Equations. --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Partial differential equations --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Math --- Science --- 517.1 Mathematical analysis --- Mathematical analysis
Choose an application
Equacions diferencials --- Anàlisi funcional --- Teoria de la mesura --- Anells (Àlgebra) --- Integrals generalitzades --- Integral de Lebesgue --- Teoria ergòdica --- Teoria de la mesura geomètrica --- Àlgebres de mesura --- Càlcul funcional --- Càlcul de variacions --- Àlgebres de Hilbert --- Àlgebres topològiques --- Anàlisi funcional no lineal --- Anàlisi microlocal --- Espais analítics --- Espais de Hardy --- Espais d'Orlicz --- Espais funcionals --- Espais vectorials normats --- Espais vectorials --- Filtres digitals (Matemàtica) --- Funcionals --- Funcions vectorials --- Multiplicadors (Anàlisi matemàtica) --- Pertorbació (Matemàtica) --- Teoria d'operadors --- Teoria de distribucions (Anàlisi funcional) --- Teoria de functors --- Teoria de l'aproximació --- Teoria del funcional de densitat --- Teoria espectral (Matemàtica) --- Equacions funcionals --- Equacions integrals --- Càlcul --- Funcions de Bessel --- Àlgebra diferencial --- Càlcul integral --- Càlcul operacional --- Equacions d'evolució --- Equacions de camp d'Einstein --- Equacions de Lagrange --- Equacions de Pfaff --- Equacions diferencials algebraiques --- Equacions diferencials ordinàries --- Equacions en derivades parcials --- Funcions de Green --- Funcions de Lyapunov --- Problemes de contorn --- Problemes inversos (Equacions diferencials) --- Teoria d'estabilitat (Matemàtica) --- Transformació de Laplace --- Differential equations. --- 517.91 Differential equations --- Differential equations
Choose an application
This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal regularity, outlining basic linear difference equations along with relevant results. They address recent advances in the field, as well as basic semigroup and cosine operator theories in the discrete setting. The authors also identify some open problems that readers may wish to take up for further research. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.
Banach spaces. --- Difference equations. --- Mathematics. --- Computer science --- Math --- Science --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Functions of complex variables --- Generalized spaces --- Topology --- Mathematics --- Functional equations. --- Difference and Functional Equations. --- Discrete Mathematics. --- Equations, Functional --- Functional analysis --- Discrete mathematics. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis
Choose an application
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life. … presents a picture of mathematics as a creation of the human imagination. … brings the history of mathematics to life by describing the contributions of the world’s greatest mathematicians. —Rex F. Gandy, Provost and Vice President for Academic Affairs, TAMUK It starts with the explanation and history of numbers, arithmetic, geometry, algebra, trigonometry, and follows by describing highlights of contributions of nearly 500 creators of mathematics back to Krishna Dwaipayana or Sage Veda Vyasa born in 3374 BC to a recent Field medalist Terence Chi–Shen Tao born in 1975. —Anthony To-Ming Lau, Ex-President, Canadian Mathematical Society …authors explain what mathematics, mathematical science, mathematical proof, computational science, and computational proofs are. …book is strongly recommendable to mathematicians or non-mathematicians and teachers or students in order to enhance their mathematical knowledge or ability. —Sehie Park, Ex-President, Korean Mathematical Society.
Mathematics. --- History. --- History of Mathematical Sciences. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Annals --- Auxiliary sciences of history --- Math --- Science
Choose an application
This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
Differentiable dynamical systems. --- Difference equations. --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Functional analysis. --- Differential equations, partial. --- Mathematics. --- Functional Analysis. --- Several Complex Variables and Analytic Spaces. --- Measure and Integration. --- Math --- Science --- Partial differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functions of complex variables. --- Measure theory. --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Complex variables --- Elliptic functions --- Functions of real variables
Choose an application
This textbook provides a genuine treatment of ordinary and partial differential equations (ODEs and PDEs) through 50 class tested lectures. Key Features: Explains mathematical concepts with clarity and rigor, using fully worked-out examples and helpful illustrations. Develops ODEs in conjunction with PDEs and is aimed mainly toward applications. Covers important applications-oriented topics such as solutions of ODEs in the form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomicals, Legendre, Chebyshev, Hermite, and Laguerre polynomials, and the theory of Fourier series. Provides exercises at the end of each chapter for practice. This book is ideal for an undergraduate or first year graduate-level course, depending on the university. Prerequisites include a course in calculus. About the Authors: Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/co-author of over 800 journal articles and more than 20 books, and actively contributes to over 40 journals and book series in various capacities. Donald O’Regan received his Ph.D. in mathematics from Oregon State University, Oregon, U.S.A. He is a professor of mathematics at the National University of Ireland, Galway. He is the author/co-author of 15 books and has published over 650 papers on fixed point theory, operator, integral, differential and difference equations. He serves on the editorial board of many mathematical journals. Previously, the authors have co-authored/co-edited the following books with Springer: Infinite Interval Problems for Differential, Difference and Integral Equations; Singular Differential and Integral Equations with Applications; Nonlinear Analysis and Applications: To V. Lakshmikanthan on his 80th Birthday; An Introduction to Ordinary Differential Equations. In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations.
Boundary value problems. --- Differential equations, Partial. --- Differential equations. --- Electronic books. -- local. --- Fourier analysis. --- Differential equations --- Differential equations, Partial --- Fourier analysis --- Boundary value problems --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Boundary conditions (Differential equations) --- Analysis, Fourier --- Partial differential equations --- 517.91 Differential equations --- Mathematics. --- Partial differential equations. --- Numerical analysis. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Partial Differential Equations. --- Ordinary Differential Equations. --- Numerical Analysis. --- Mathematical Methods in Physics. --- Appl.Mathematics/Computational Methods of Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Math --- Science --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Differential equations, partial. --- Differential Equations. --- Mathematical physics. --- Mathematical and Computational Engineering. --- Physical mathematics --- Physics
Choose an application
During the recent years, differential forms have played an important role in many fields. In particular, the forms satisfying the A-harmonic equations, have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds. This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms. The presentation concentrates on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are also covered. Additionally, some related topics such as BMO inequalities, Lipschitz classes, Orlicz spaces and inequalities in Carnot groups are discussed in the concluding chapter. An abundance of bibliographical references and historical material supplement the text throughout. This rigorous text requires a familiarity with topics such as differential forms, topology and Sobolev space theory. It will serve as an invaluable reference for researchers, instructors and graduate students in analysis and partial differential equations and could be used as additional material for specific courses in these fields.
Differential forms. --- Differential inequalities. --- Differential forms --- Differential inequalities --- Calculus --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Forms, Differential --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Integral transforms. --- Operational calculus. --- Operator theory. --- Partial differential equations. --- Differential geometry. --- Analysis. --- Differential Geometry. --- Partial Differential Equations. --- Integral Transforms, Operational Calculus. --- Operator Theory. --- Continuous groups --- Geometry, Differential --- Inequalities (Mathematics) --- Global analysis (Mathematics). --- Global differential geometry. --- Differential equations, partial. --- Integral Transforms. --- Functional analysis --- Transform calculus --- Integral equations --- Transformations (Mathematics) --- Partial differential equations --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Operational calculus --- Differential equations --- Electric circuits --- Differential geometry --- 517.1 Mathematical analysis --- Mathematical analysis
Choose an application
This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: -Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures - Uses detailed examples to drive the presentation -Includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section -covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics -Provides a concise history of complex numbers An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.
Numbers, Complex. --- Numbers, Complex --- Mathematical analysis --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Calculus --- Complex numbers --- Imaginary quantities --- Quantities, Imaginary --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Functions of complex variables. --- Functions of a Complex Variable. --- Analysis. --- Algebra, Universal --- Quaternions --- Vector analysis --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Complex variables --- Elliptic functions --- Functions of real variables --- 517.1 Mathematical analysis
Listing 1 - 10 of 28 | << page >> |
Sort by
|