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

Under suitable conditions on f( t, u), the boundary value problem ▪ 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.

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Bibliographic Details
Published in:Mathematical and computer modelling 2001-10, Vol.34 (7), p.821-837
Main Authors: Lian, Wei-Cheng, Chou, Chin-Chen, Liu, Chieh-Ting, Wong, Fu-Hsiang
Format: Article
Language:English
Subjects:
Boundary value problems
Exact sciences and technology
Fixed point and measure chains
Mathematical analysis
Mathematics
Operator equation
Ordinary differential equations
Priori bounds
Sciences and techniques of general use
Solution
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Description
Summary:Under suitable conditions on f( t, u), the boundary value problem ▪ 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.
ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(01)00102-9