Problems and Examples in Differential EquationsCRC Press, 2020 M08 11 - 264 pages 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. |
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analytic Answer arbitrary Assume bifurcation boundary conditions boundary value problem bounded c₁ C¹ function C¹ vector field Cauchy problem coefficients Consider the equation const constant continuous function defined Dirichlet domain eigenvalues elliptic exists finite function f Give an example harmonic function heat equation Hint inequality initial value problem KPPZ L²(R lemma Liapunov Liapunov function linear Math matrix maximum principle Moskva Nauka nonlinear nontrivial operator Ordinary Differential Equations origin parabolic Partial Differential Equations periodic orbit periodic solution plane positive Prove Remark Riccati equation selfadjoint semigroup Show singular point smooth solution x(t Solve space Springer system x T-periodic theorem Theory trajectories u₁ uniformly unique solution variables vector field velocity wave equation x₁ zero