Walter, "Sturm-Liouville type problems for the p-Laplacian under asymp- totic nonresonance conditions", J. Differential Equations 156 (1999), 50 - 70. MR1701814 (2000e:34036)W. Reichel, W. Walter, Sturm-Liouville type problems for the p-Laplacian under asymptotic non- resonance conditions,...
A version of the Sturm-Liouville theory is given for the one-dimensional p-Laplacian including the radical case. The treatment is modern but follows the strategy of Elbert's early work. Topics include a Prüfer-type transformation, eigenvalue existence, asymptotics and variational principles, and ...
Applying the fixed point index theory, the existence of positive solutions is established for singular Sturm-Liouville boundary value problems of the form ... Yan SUN,Ben Long XU,Li Shan Liu,... - 《系统科学与数学》 被引量: 104发表: 2005年 具p-Laplacian算子的多点边值问题三个对称正解的存...
We consider the existence of positive solutions for a class of Sturm-Liouville-like boundary value problem with p-Laplacian on time scales. Using the well ... S Sun,M Zhang,HH Li - 《Journal of Applied Mathematics & Computing》 被引量: 17发表: 2011年 Positive solutions for discrete Sturm...
一类带p-Laplacian的Sturm-Liouville型2m点边值问题三个正解的存在性
We consider the existence of positive solutions for a class of Sturm-Liouville-like boundary value problem with p -Laplacian on time scales. Using the well known Krasnosel'ski's fixed point theorem, some new existence criteria for positive solutions of the boundary value problem are presented. ...
Based on this connection, we generalize several results for SturmLiouville equations on time scales, which have been obtained by various authors in the past. 关键词: time scale calculus Sturm-Liouville operators Weyl-Titchmarsh theory DOI: 10.1080/10236198.2011.600310 被引量: 2 年份: 2012 ...
In this paper, we consider a class of nonlinear fractional impulsive differential equation involving Sturm-Liouville boundary-value conditions and p-Laplacian operator. By making use of critical point theorem and variational methods, some new criteria are given to guarantee that the considered problem ...
As early as 1910, Weyl gave a classification of the singular Sturm–Liouville equation, and divided it into the Limit Point Case and the Limit Circle Case at infinity. This led to the study of singular Sturm–Liouville spectrum theory. With the developme
We consider fourth-order differential equation nonlocal boundary value problem with a p-Laplacian.We obtain iterative solution of fourth-order nonlocal bou... HH Pang,LM Cao,GE Wei-Gao - 《Mathematics in Practice & Theory》 被引量: 97发表: 2009年 Positive Solutions for Semipositone m-point...