Existence of Solutions for Higher Order Bvp with Parameters via Critical Point Theory

Demonstratio Mathematica

Jurkiewicz Mariusz¹  Przeradzki Bogdan² 

[1] INSTITUTE OF MATHEMATICS AND CRYPTOLOGY MILITARY UNIVERSITY OF TECHNOLOGY Gen. Sylwestra Kaliskiego 2 00-908 WARSZAWA 49, POLAND;INSTITUTE OF MATHEMATICS LODZ UNIVERSITY OF TECHNOLOGY Wólczanska 215 90-924 ŁÓDZ, POLAND;

关键词: multidimensional spectrum;    Lidstone BVP;    critical point theory;    Palais-Smale condition;   

DOI  :  10.1515/dema-2015-0005

来源: DOAJ

【 摘 要 】

This paper is concerned with the existence of at least one solution of the nonlinear 2k-th order BVP. We use the Mountain Pass Lemma to get an existence result for the problem, whose linear part depends on several parameters.

【 授权许可】

Unknown