Asymptotic integration of nonlinear ϕ -Laplacian differential equations

The aim of the present paper is to study the existence of solutions to initial values problems for a ϕ -Laplace-like operator. We generalize the results of Agarwal (2007) [1, Section 4; Theorem 3] and the result of Philos (2004) [20, Theorem 5] to the ϕ -Laplacian-like problems.

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Bibliographic Details
Published in:Nonlinear analysis 2010-02, Vol.72 (3), p.2000-2008
Main Authors: Medveď, Milan, Moussaoui, Toufik
Format: Article
Language:English
Subjects:
[formula omitted]-Laplacian
Asymptotic behavior
Exact sciences and technology
Existence
Fixed point theorems
Mathematical analysis
Mathematics
Measure and integration
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
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Description
Summary:The aim of the present paper is to study the existence of solutions to initial values problems for a ϕ -Laplace-like operator. We generalize the results of Agarwal (2007) [1, Section 4; Theorem 3] and the result of Philos (2004) [20, Theorem 5] to the ϕ -Laplacian-like problems.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.09.042