陶器 发表于 2025-3-23 10:39:17
http://reply.papertrans.cn/19/1856/185528/185528_11.png一加就喷出 发表于 2025-3-23 17:17:49
http://reply.papertrans.cn/19/1856/185528/185528_12.png词汇记忆方法 发表于 2025-3-23 21:45:56
Local Theory,One of the most important analytic tools for the solution of a nonlinear problem,.where . is a mapping .: . × . → . with open sets . ⊂ ., . ⊂ ., and where . are (real) Banach spaces, is the following .:ULCER 发表于 2025-3-24 01:47:17
Introduction,ing of the Euler rod, the appearance of Taylor vortices, and the onset of oscillations in an electric circuit, for instance, all have a common cause: A specific physical parameter crosses a threshold, and that event forces the system to the organization of a new state that differs considerably fromFLOAT 发表于 2025-3-24 03:14:24
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Applications,that property, but we have infinite-dimensional applications in mind. A prototype of a Fredholm operator, playing also a central role in applications, is an elliptic operator over a bounded domain. We confine ourselves to operators of second order acting on scalar functions.没有希望 发表于 2025-3-24 12:13:41
0066-5452 ed presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory tCRUDE 发表于 2025-3-24 18:35:59
Karl Farmer,Birgit Bednar-Friedlus mapping is accomplished by approximation. (The procedure expounded in Section II.5 for proper Fredholm operators applies in a simplified form for the finite-dimensional case of this section, too, yielding proofs for all statements.)Expostulate 发表于 2025-3-24 21:21:14
Textbook 20041st editionation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems排他 发表于 2025-3-25 00:11:52
Textbook 20041st editionions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.