Problems and Examples in Differential EquationsCRC Press, 2020 M08 12 - 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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Analysis analytic Answer Apply arbitrary Assume asymptotic Banach space boundary value problem bounded coefficients Compare condition Consider const constant continuous function converges defined derivative described Determine differential equation domain eigenvalues energy equal equation x estimate example exists Find finite flow formula given harmonic heat equation hence Hint inequality infinite instance integral interval Liapunov limit linear Math matrix maximum motion nonlinear Observe obtained operator orbit origin parabolic particle periodic solution plane positive potential Prove Remark respect result satisfies semigroup Show singular point smooth Solve space stable Study sufficiently Suppose tends theorem Theory tion trajectories transformation u₁ uniformly unique solution unit vanish variables vector field wave zero