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1.Xingqiu Zhang£¬Existence of positive solutions for multi-point boundary value problems on infinite intervals in Banach spaces£¬Applied Mathematics and Computation 206 (2008) 932¨C941£»
2.Xingqiu Zhang£¬Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces£¬Nonlinear Analysis 70 (2009) 1620¨C1628
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1.Xingqiu Zhang£¬Existence of positive solutions for multi-point boundary value problems on infinite intervals in Banach spaces£¬Applied Mathematics and Computation 206 (2008) 932¨C941£»

UT  ISI:000261686800049


2.Xingqiu Zhang£¬Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces£¬Nonlinear Analysis 70 (2009) 1620¨C1628
UT  ISI:000262888300013
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1.Accession number:  20084911764455
2.Accession number:  20084911770980

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1.Accession number:  20084911764455

Title:  Existence of positive solutions for multi-point boundary value problems on infinite intervals in Banach spaces

Authors:  Zhang, Xingqiu1  

Author affiliation:  1  School of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, China


Corresponding author:  Zhang, X. (Zhxq197508@163.com)  

Source title:  Applied Mathematics and Computation

Abbreviated source title:  Appl. Math. Comput.

Volume:  206

Issue:  2

Issue date:  December 15, 2008

Publication year:  2008

Pages:  932-941

Language:  English

ISSN:  00963003

CODEN:  AMHCBQ

Document type:  Journal article (JA)

Publisher:  Elsevier Inc., 360 Park Avenue South, New York, NY 10010, United States

Abstract:  In this paper, the cone theory and Mo¨nch fixed point theorem combined with a monotone iterative technique are used to investigate the positive solutions of a class of boundary problems for second-order nonlinear singular differential equations with multi-point boundary value conditions on an infinite interval in Banach spaces. The conditions for the existence of a positive solution are established. In addition, an explicit iterative approximation of the solution for the boundary value problem is also derived. © 2008 Elsevier Inc. All rights reserved.

Number of references:  15

Main heading:  Solutions

Controlled terms:  Banach spaces  -  Boundary value problems  -  Differential equations  -  Initial value problems  -  Molybdenum  -  Nonlinear equations  -  Optimal control systems  -  Ordinary differential equations  -  Theorem proving  -  Topology   -  Turbulent flow

Uncontrolled terms:  Boundary problems  -  Boundary values  -  Fixed point theorems  -  Infinite intervals  -  Iterative approximations  -  Measure of non-compactness  -  Monotone iterative techniques  -  Positive solutions  -  Singular differential equation  -  Singular differential equations

Classification code:  804 Chemical Products Generally  -  921 Mathematics  -  921.1 Algebra  -  921.2 Calculus  -  921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory  -  921.5 Optimization Techniques  -  921.6 Numerical Methods  -  803 Chemical Agents and Basic Industrial Chemicals  -  543.3 Molybdenum and Alloys  -  631.1 Fluid Flow, General  -  703.1 Electric Networks  -  721.1 Computer Theory, Includes Formal Logic, Automata Theory, Switching Theory, Programming Theory  -  723.4 Artificial Intelligence  -  731.1 Control Systems  -  801 Chemistry

DOI:  10.1016/j.amc.2008.10.012

Database:  Compendex

   Compilation and indexing terms, © 2008 Elsevier Inc.



2.Accession number:  20084911770980

Title:  Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces

Authors:  Zhang, Xingqiu1  

Author affiliation:  1  School of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, China


Corresponding author:  Zhang, X. (zhxq197508@163.com)  

Source title:  Nonlinear Analysis, Theory, Methods and Applications

Abbreviated source title:  Nonlinear Anal Theory Methods Appl

Volume:  70

Issue:  4

Issue date:  February 15, 2009

Publication year:  2009

Pages:  1620-1628

Language:  English

ISSN:  0362546X

CODEN:  NOANDD

Document type:  Journal article (JA)

Publisher:  Elsevier Ltd, Langford Lane, Kidlington, Oxford, OX5 1GB, United Kingdom

Abstract:  In this paper, by constructing a closed convex set and using the fixed point theory of completely continuous operators, we investigate the existence of positive solutions for an initial value problem of second-order nonlinear impulsive singular integro-differential equations in a Banach space. The method used in this paper is different from that in the literature. © 2008 Elsevier Ltd. All rights reserved.

Number of references:  9

Main heading:  Differential equations

Controlled terms:  Banach spaces  -  Boundary value problems  -  Initial value problems  -  Integrodifferential equations  -  Mathematical operators  -  Nonlinear equations  -  Set theory  -  Topology  -  Turbulent flow

Uncontrolled terms:  Closed convex sets  -  Completely continuous operators  -  Fixed points  -  Impulsive singular integro-differential equation  -  Initial values  -  Measure of noncompactness  -  Mixed types  -  Positive solutions  -  Schauder fixed point theorem  -  Singular differential equations

Classification code:  921.6 Numerical Methods  -  921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory  -  921.2 Calculus  -  921.1 Algebra  -  921 Mathematics  -  703.1 Electric Networks  -  631.1 Fluid Flow, General

DOI:  10.1016/j.na.2008.02.038

Database:  Compendex

   Compilation and indexing terms, © 2008 Elsevier Inc.
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