On solutions of one 6‐th order nonlinear boundary value problem

Mathematical Modelling and Analysis

卷:13

Tatjana Garbuza¹ 

[1] Daugavpils University, Parades str., Daugavpils, Latvia, LV-5400;

关键词: nonlinear boundary value problem;    multiplicity of solutions;    oscillation;    differential equations of 6-th order;   

DOI  :  10.3846/1392-6292.2008.13.349-355

来源: DOAJ

【 摘 要 】

A special technique based on the analysis of oscillatory behaviour of linear equations is applied to investigation of a nonlinear boundary value problem of sixth order. We get the estimation of the number of solutions to boundary value problems of the type x(6) = f(t, x), x(a) = A, x′ (a) = A 1, x″(a) = A 2, x′″(a) = A 3, x(b) = B, x′(b) = B1 , where f is continuous together with the partial derivative f′x which is supposed to be positive. We assume also that at least one solution of the problem under consideration exists.First Published Online: 14 Oct 2010

【 授权许可】

Unknown