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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 ¹§Ï²£¬Á½ÆªÎÄÕ¶¼ÊÇSCIÊÕ¼ÁË |
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EIÊÕ¼ºÅ£º 1.Accession number: 20084911764455 2.Accession number: 20084911770980 ¼ìË÷¼Ç¼£º 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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