Problems and Examples in Differential Equations [Hardcover]

This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations. Ordinary Differential Equations Existence, Uniqueness, Differential Equations on R, Inequalities Linear Differential Equations Second-Order Linear Equations Second-Order Nonlinear Equations Differential Equations in the Plane Flows, Singular Points, Bifurcations Stability Theory and Related Topics Higher-Order Differential Equations Differential Equations in the Complex Domain Boundary Value Problems and Periodic Solutions Singular Perturbations, Asymptotic Theory, Averaging Equations in the Banach Spaces Functional-Differential Equations Integral Equations Applications to Mechanics, Physics, Biology, and Geometry Partial Differential Equations General Questions and Some Linear Equations Elliptic Equations SchrOdinger Operators and Schr?dinger Evolution Equations Parabolic Equations Hyperbolic Equations Semigroups and Singular Perturbation Problems Miscellaneous Equations and Systems Hints, Answers, References Ordinary Differential Equations Partial Differential Equations References