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Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great valu
Delay differential equations. --- Population --- Mathematical models. --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations
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Ordinary differential equations --- Delay differential equations. --- 51 --- Delay differential equations --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Mathematics --- Delay equations --- Retarded argument --- Time-lag equations --- 51 Mathematics
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Ordinary differential equations --- Delay differential equations --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations --- Delay differential equations. --- Équations différentielles à retard.
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Introduction to the theory and application of differential equations with deviating arguments
Delay differential equations. --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Functional differential equations. --- Differential equations, Functional --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations --- Functional equations --- Equations differentielles
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Ordinary differential equations --- Mathematical physics --- 51 --- Delay differential equations --- Vibration --- Cycles --- Mechanics --- Sound --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Mathematics --- Delay equations --- Retarded argument --- Time-lag equations --- 51 Mathematics --- Équations différentielles à retard --- Delay differential equations. --- Équations différentielles à retard. --- Vibrations
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Differential equations --- Delay differential equations --- Differentiable dynamical systems --- Dynamique différentiable --- Équations différentielles à retard --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations --- Dynamique différentiable. --- Équations différentielles à retard.
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Delay differential equations --- 517.9 --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Delay equations --- Retarded argument --- Time-lag equations --- Delay differential equations. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis
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Functional differential equations --- Riemannian manifolds --- Differentiable manifolds --- Delay equations --- -Riemannian manifolds --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Geometry, Differential --- Manifolds (Mathematics) --- Differential equations, Functional --- Differential equations --- Functional equations --- Differential manifolds --- Delay differential equations. --- Differentiable manifolds. --- Riemannian manifolds. --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations with lag --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Retarded argument --- Time-lag equations --- Functional differential equations - Delay equations
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Equacions diferencials retardades --- Biomatemàtica --- Biologia --- Matemàtica --- Model de Lotka-Volterra --- Biometria --- Equacions diferencials amb retard --- Equacions diferencials amb argument retardat --- Delay differential equations. --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations
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Differential equations --- Attractors (Mathematics) --- Delay differential equations --- -Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Attracting sets (Mathematics) --- Attractors of a dynamical system --- Dynamical system, Attractors of --- Sets, Attracting (Mathematics) --- Differentiable dynamical systems --- Numerical solutions --- Delay equations --- Retarded argument --- Time-lag equations --- -Numerical solutions --- -Attracting sets (Mathematics) --- Delay equations (Differential equations) --- Équations différentielles à retard --- Attracteurs (mathématiques) --- Numerical solutions. --- Solutions numériques --- Numerical analysis --- Solutions numériques.
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