Email this article How to Approach Nonstandard Boundary Value Problems
- Authors: Gel’man B.D.1
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Affiliations:
- Voronezh State University
- Issue: Vol 50, No 1 (2016)
- Pages: 31-38
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234162
- DOI: https://doi.org/10.1007/s10688-016-0125-4
- ID: 234162
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Abstract
A new approach to nonstandard boundary value problems is suggested. For such problems, we construct equivalent inclusions with surjective operators and study the solvability of these inclusions. The paper consists of two parts. The first part deals with problems in which the right-hand side of the equation is a Lipschitz mapping (Section 3); in the second part (Section 4), this mapping is completely continuous with respect to a surjective operator A. The paper also gives examples of how our theorems can be applied when studying nonstandard boundary value problems.
About the authors
B. D. Gel’man
Voronezh State University
Author for correspondence.
Email: gelman_boris@mail.ru
Russian Federation, Voronezh
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