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This volume was conceived as a Special Issue of the MDPI journal Mathematics to illustrate and show relevant applications of differential equations in different fields, coherently with the latest trends in applied mathematics research. All the articles that were submitted for publication are valuable, interesting, and original. The readers will certainly appreciate the heterogeneity of the 10 papers included in this book and will discover how helpful all the kinds of differential equations are in a wide range of disciplines. We are confident that this book will be inspirational for young scholars as well.

Research & information: general --- Mathematics & science --- q-Hermite polynomials --- zeros of q-Hermite polynomials --- differential equation --- splitted separation --- Lie symmetries --- gauss hypergeometric functions --- initial value problem --- Kepler-type orbits --- Runge-Kutta --- differential evolution --- dynamical systems --- stability --- economics --- relationships --- networks --- oscillatory problems --- SEIR ODE model --- COVID-19 transmission --- convalescent plasma transfusion (CPT) --- degeneracy --- elliptic PDE --- ladder operator --- commuting operator --- eigenvalues --- mixing process --- simultaneous differential equations --- variable production rate --- simulated annealing --- financial markets --- investment style --- border collision bifurcation --- fundamental analysis --- technical analysis --- market maker --- differential equations with discontinuous right-hand sides --- Hopfield artificial neural networks --- q-Hermite polynomials --- zeros of q-Hermite polynomials --- differential equation --- splitted separation --- Lie symmetries --- gauss hypergeometric functions --- initial value problem --- Kepler-type orbits --- Runge-Kutta --- differential evolution --- dynamical systems --- stability --- economics --- relationships --- networks --- oscillatory problems --- SEIR ODE model --- COVID-19 transmission --- convalescent plasma transfusion (CPT) --- degeneracy --- elliptic PDE --- ladder operator --- commuting operator --- eigenvalues --- mixing process --- simultaneous differential equations --- variable production rate --- simulated annealing --- financial markets --- investment style --- border collision bifurcation --- fundamental analysis --- technical analysis --- market maker --- differential equations with discontinuous right-hand sides --- Hopfield artificial neural networks