Existence and comparison results for a class of nonlinear boundary value problems.

Autor: Chandra, Jagdish, Fleishman, B.
Zdroj: Annali di Matematica Pura ed Applicata; Dec1974, Vol. 101 Issue 1, p247-261, 15p
Abstrakt: In this paper we investigate a class of nonlinear boundary value problems of Sturm-Liouville type. Specifically, we consider the equation, along with the boundary conditions. Notice that nonlinearity is allowed both in the coefficient of the Sturn-Liouville operator (r(x, u)) and the source term. Such boundary value problems are suggested by several steady-state processes. The purpose of this paper is to establish existence of a positive solution of the boundary value problem (1) and (2) and formulate some comparison results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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