In this paper, we investigate the existence of multiple solutions to a second-order Dirichlet boundary-value problem with impulsive effects. The proof is based on critical point theorems.
On the Set of Solutions of Boundary Value Problems for Hyperbolic Differential Equations
β Scribed by Dariusz Bielawski
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 78 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper we show that the set of solutions of the Nicoletti or Floquet boundary value problems for hyperbolic differential equations is nonempty compact and convex. We apply the BrowderαGodheαKirk fixed point theorem.
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## Abstract For partial differential equations of mixed ellipticβhyperbolic type we prove results on existence and existence with uniqueness of weak solutions for __closed__ boundary value problems of Dirichlet and mixed Dirichletβconormal types. Such problems are of interest for applications to tr
A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper