NONLINEAR INITIAL VALUE PROBLEMS WITH p-LAPLACIAN

被引：0

作者：

Kong, Qingkai ^{[1
]}

Wang, Xiaofei ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2010年 / 19卷 / 01期

关键词：

EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonlinear initial value problem consisting of the equation -[p(t)phi)(y')]'+ q(t)phi(y) = w(t)f(y) with phi(y) = vertical bar y vertical bar(r-1)y for r > 0 and the initial conditions y(t(0)) = y(0), (P(1/r)y')(t(0)) = z(0). By establishing nonlinear integral inequalities and applying a generalized energy function and a generalized Prufer transformation, we prove that the solution of this initial value problem exists on the whole domain and is unique. This paper provides a foundation for a forthcoming paper on the existence of nodal solutioins of second order nonlinear boundary value problems with p-Laplacian.

引用

页码：33 / 43

页数：11

共 4 条

[1]

[Anonymous], 1979, COLLOQUIA MATH SOCIE

[2] Existence and nonexistence of solutions of second-order nonlinear boundary value problems [J].