Existence of solutions for nonlinear BVPs of second-order differential equations on measure chains

被引：4

作者：

Lian, WC

Chou, CC

Liu, CT

Wong, FH

机构：

[1] Natl Kaohsiung Inst Marine Technol, Kaohsiung 811, Taiwan

[2] Natl Taipei Teachers Coll, Dept Math, Taipei 10659, Taiwan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2001年 / 34卷 / 7-8期

关键词：

boundary value problems; solution; operator equation; priori bounds; fixed point and measure chains;

D O I：

10.1016/S0895-7177(01)00102-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Under suitable conditions on f (t, u), the boundary value problem u(Delta Delta)(t) + muf (t, u(sigma) (t)) = 0, in [a, b], (E) alphau(a) - betau(Delta)(a) = 0, gammau(sigma (b)) + deltau(Delta)(sigma (b)) = 0, } (BC) } (BVP) has at least one solution. Moreover, we also apply this main result to establish several existence theorems of multiple solutions for some nonlinear differential equations on measure chain. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：821 / 837

页数：17

共 13 条

[1] An application of topological transversality to non-positive higher order difference equations [J].