Boundary value problem with an inner point for the singularly perturbed semilinear differential equations.

Autor: Vrábel', Róbert
Jazyk: angličtina
Předmět:
Druh dokumentu: Non-fiction
Abstrakt: Abstract: In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem \epsilon y"+ky=f(t,y),\quad t\in\langle a,b \rangle, k<0, 0<\epsilon\ll1 satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.
Databáze: Katalog Knihovny AV ČR