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Titlebook: Dynamic Systems on Measure Chains; V. Lakshmikantham,S. Sivasundaram,B. Kaymakcalan Book 1996 Springer Science+Business Media Dordrecht 19

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楼主: Coolidge
发表于 2025-3-23 10:03:51 | 显示全部楼层
Erik Aschenbrand,Thomas Michlerdes the corresponding theories of differential equations and difference equations at the same time. The approach brings out clearly the extra assumptions needed when we deal with difference equations directly. As we shall see the induction principle is employed very crucially in most of the proofs.
发表于 2025-3-23 14:41:49 | 显示全部楼层
Wissenschaftliche Quellen und Referenzieren, 4.1, we shall develop the methods of upper and lower solutions and monotone iterative technique for initial and periodic boundary value problems. Section 4.2 is devoted to the method of generalized quasilinearization which offers not only monotone sequences that converge to the unique solution but also shows that the convergence is quadratic.
发表于 2025-3-23 21:34:44 | 显示全部楼层
https://doi.org/10.1007/978-1-4757-2449-3Area; Boundary value problem; Calc; Monotone; Variance; calculus; derivative; differential equation; framewo
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Chapter 3,As is well known, we can develop qualitative behavior of solution of differential systems as well as difference equations by employing Lyapunovlike functions and the theory of corresponding inequalities.
发表于 2025-3-24 13:21:58 | 显示全部楼层
发表于 2025-3-24 16:25:52 | 显示全部楼层
Erik Aschenbrand,Thomas Michlerdes the corresponding theories of differential equations and difference equations at the same time. The approach brings out clearly the extra assumptions needed when we deal with difference equations directly. As we shall see the induction principle is employed very crucially in most of the proofs.
发表于 2025-3-24 21:25:18 | 显示全部楼层
Wissenschaftliche Quellen und Referenzieren, 4.1, we shall develop the methods of upper and lower solutions and monotone iterative technique for initial and periodic boundary value problems. Section 4.2 is devoted to the method of generalized quasilinearization which offers not only monotone sequences that converge to the unique solution but
发表于 2025-3-25 01:41:55 | 显示全部楼层
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