Boundary Value Problems on the Half-Line with Impulses and Infinite Delay
β Scribed by Baoqiang Yan
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 154 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
This paper presents some results on the existence and uniqueness of solutions for the boundary value problems on the half-line with impulses and infinite delay. Moreover, an existence theorem of multiple solutions is obtained also. The problems may be singular at the boundary.
π SIMILAR VOLUMES
We study the existence of positive solutions of boundary value problems on the half-line for differential equations of second order. The Krasnoselskii fixed point theorem on cone compression and expansion is used.
We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation, 2 for t β β uniformly with respect to x > 0 where Ξ± = 0 1, 0 q t = q/ β Ο e -q 2 , 1 q t = 1/2 β Ο β t e -q 2 2q β t -1 + e -2q β t .
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