The solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces

In this paper, the minimal and maximal solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces are investigated by using new comparison results and the partial order method. The results presented here essentially improve, generaliz...

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Bibliographic Details
Published inNonlinear analysis Vol. 66; no. 5; pp. 1025 - 1036
Main Authors Su, Hua, Liu, Lishan, Zhang, Xiaoyan
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.03.2007
Elsevier
Subjects
34B15
34B25
Banach space
Exact sciences and technology
Mathematical analysis
Mathematics
Measure of non-compactness
Ordinary differential equations
Partial order method
Sciences and techniques of general use
Second-order integro-differential equations of mixed type
Solutions
Measure of non-compactness
34B15
34B25
Solutions
Partial order method
Second-order integro-differential equations of mixed type
Banach space
Second order equation
Measure noncompactness
Initial value problem
Nonlinear analysis
Integrodifferential equation
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Summary:In this paper, the minimal and maximal solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces are investigated by using new comparison results and the partial order method. The results presented here essentially improve, generalize and unify many well-known results.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2006.01.002