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Titlebook: Critical Point Theory; Sandwich and Linking Martin Schechter Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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樓主: risky-drinking
51#
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發(fā)表于 2025-3-31 00:11:01 | 只看該作者
Second Order Hamiltonian Systems,We consider the system . where . is a map from .?=?[0, .] to . such that each component ..(.) is a periodic function in .. with period ., and the function .?(., .)?=?.?(., .., ? , ..) is continuous from . to . with . For each . the function .?(., .) is periodic in . with period ..
55#
發(fā)表于 2025-3-31 02:53:17 | 只看該作者
Custom Monotonicity Methods,Consider the problem . where . is a bounded domain whose boundary is a smooth manifold, and .(., .) is a continuous function on . The following theorem will be a corollary of the results of this chapter.
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Radially Symmetric Wave Equations,In this chapter we study periodic solutions of the Dirichlet problem for the semilinear wave equation . where
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Multiple Solutions,A typical characteristic of nonlinear problems is the fact that many times there are multiple solutions. Usually it is difficult to obtain any solutions, let alone more than one. In general, it is much harder to determine when there are even two.
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