Positive solutions for system of 2n-th order Sturm-Liouville boundary value problems on time scales

被引：2

作者：

Prasad, K. R. ^{[1
]}

Rao, A. Kameswara ^{[2
]}

Bharathi, B. ^{[2
]}

机构：

[1] Andhra Univ, Dept Appl Math, Visakhapatnam 530003, Andhra Pradesh, India

[2] Gayatri Vidya Parishad Coll Engn Women, Dept Math, Visakhapatnam 530048, Andhra Pradesh, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2014年 / 124卷 / 01期

关键词：

Time scales; system of equations; boundary value problem; eigenvalue intervals; positive solution; cone; EIGENVALUE PROBLEMS;

D O I：

10.1007/s12044-013-0156-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Intervals of the parameters lambda and mu, are determined for which there exist positive solutions to the system of dynamic equations (-1)(n)u(Delta 2n) (t) + lambda p(t)f(v(sigma(t))) = 0, t is an element of [a, b], (-1)(n)v(Delta 2n) (t) + mu q(t)g(u(sigma(t))) = 0, t is an element of [a, b], satisfying the Sturm-Liouville boundary conditions alpha(i+1)u(Delta 2i)(a)-beta(i+1)u(Delta 2i+1)(a)=0, gamma(i+1)u(Delta 2i)(sigma(b))+delta(i+1)u(Delta 2i+1)(sigma(b))=0, alpha(i+1)v(Delta 2i)(a)-beta(i+1)v(Delta 2i+1)(a)=0, gamma(i+1)v(Delta 2i)(sigma(b))+delta(i+1)v(Delta 2i+1)(sigma(b))=0, for 0 <= i <= n - 1. To this end we apply a Guo-Krasnosel'skii fixed point theorem.

引用

页码：67 / 79

页数：13

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