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Potential Bounds in Nonpotential Two-Point Boundary - Value Problems

✍ Scribed by Mark Krasnosel'skii; Reinhard Mennicken; Dmitrii Rachinskii

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 591 KB
Volume: 188
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19971880112

No coin nor oath required. For personal study only.

✦ Synopsis

New conditions are suggested for the existence of solutions of two-point boundaryvalue problems. The situation is studied when monotone bounds of nonlinear terms do not guarantee the solvability of the problems. The approach developed is a combination of variational methods, simple fixed point principles, and methods of partially ordered spaces.

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