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boundary value problems: and partial differential equations 5th ed

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Boundary value problems: and partial differential equations

EXISTENCE AND UNIQUENESS RESULTS FOR boundary value problems OF HIGHER ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES

2006年

作者： David L. Powers

来源：畅想之星图书光盘版（南... 评论

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畅想之星图书光盘版（南通市图书馆镜像）

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Acta Mathematica Scientia 2013年第3期33卷 758-772页

作者： Dimplekumar N. CHALISHAJAR K. KARTHIKEYAN Department of Mathematics and Computer Science Virginia Military Institute (VMI) 417 Mallory HallLexington VA 24450 USA Department of Mathematics KSR College of TechnologyTiruchengode-637 215 Tamilnadu India

We study boundary value problems for fractional integro-differential equations involving Caputo derivative of order α∈ （n-1, n） in Banach spaces. Existence and uniqueness results of solutions are established by virtue of the Holder＇s inequality, a suitable singular Cronwall＇s inequality and fixed point theorem via a priori estimate method. At last, examples are given to illustrate the results.

关键词： boundary value problems fractional order integro-differential equations bound-ary value problems existence and uniqueness singular gronwall inequality fixed point theorem

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE boundary value problems

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Acta Mathematica Scientia 2011年第1期31卷 281-291页

作者：苑成军文香丹蒋达清 School of Mathematics and Statistics Northeast Normal University School of Mathematics and Computer Harbin University Department of Mathematics Yanbian University

By fixed point theorem of a mixed monotone operators, we study Lidstone boundary value problems to nonlinear singular 2mth-order differential and difference equations, and provide sufficient conditions for the existence and uniqueness of positive solution to Lidstone boundary value problem for 2mth-order ordinary differential equations and 2mth-order difference equations. The nonlinear term in the differential and difference equation may be singular.

关键词： Mixed monotone operator fixed point theorem boundary value problems existence uniqueness

Existence of boundary value problems for Impulsive Fractional Differential Equations with a Parameter

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Communications on Applied Mathematics and Computation 2021年第4期3卷 585-604页

作者： Jin You Mengrui Xu Shurong Sun School of Mathematical Sciences University of JinanJinan 250022ShandongChina

We investigate a class of boundary value problems for nonlinear impulsive fractional differential equations with a parameter.By the deduction of Altman’s theorem and Krasno-selskii’s fixed point theorem,the existenc... 详细信息

关键词： Fractional differential equations boundary value problems Impulsive Existence

MULTIPLE POSITIVE SOLUTIONS FOR SUPERLINEAR SECOND ORDER SINGULAR boundary value problems WITH DERIVATIVE DEPENDENCE

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Acta Mathematica Scientia 2008年第4期28卷 851-864页

作者：闫宝强 Department of Mathematics Shandong Normal University School of Mathematics Trinity College

The existence of at least two positive solutions is presented for the singular second-order boundary value problem{1/p（t）（ p（t）x′（t））′＋Φ（t）f（t,x（t）,p（t）x′（t））=0,0〈t〈1, limt→0 p（t）x′（t）=... 详细信息

关键词： boundary value problems singularity fixed point index

Positive Solutions to Singular boundary value problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions

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Acta Mathematica Sinica,English Series 2007年第8期23卷 1447-1456页

作者： Bao Qiang YAN Donal O'REGAN Ravi P. AGARWAL Department of Mathematics Shandong Normal University Ji'nan 250014 P. R. China Department of Mathematics National University of Ireland Galway Ireland Department of Mathematical Science Florida Institute of Technology Melbourne FL32901 USA

This paper presents a lower and upper solution technique for singular second order boundary value problems on the half line.

关键词： boundary value problems lower and upper solutions Schauder＇s fixed point theorem

SOME boundary value problems FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS OF SECOND ORDER

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Acta Mathematica Scientia 2007年第3期27卷 663-672页

作者：闻国椿 School of Mathematical Sciences Peking University

The present article deals with some boundary value problems for nonlinear elliptic equations with degenerate rank 0 including the oblique derivative problem. Firstly the formulation and estimates of solutions of the oblique derivative problem are given, and then by the above estimates and the method of parameter extension, the existence of solutions of the above problem is proved. In this article, the complex analytic method is used, namely the corresponding problem for degenerate elliptic complex equations of first order is firstly discussed, afterwards the above problem for the degenerate elliptic equations of second order is solved.

关键词： boundary value problems nonlinear elliptic equations parabolic degeneracy

boundary value problems FOR SECOND ORDER DELAY DIFFERENTIAL EQUATIONS

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Applied Mathematics and Mechanics(English Edition) 1993年第6期14卷 573-580页

作者：李龙图王志成钱祥征 Department of Applied Mathematics Hunan University Changsha

The boundary-value problems for second order differential equations were studied by using a fixed point principle and existence principle given in Lee's paper, then, some new existence results were obtained.

关键词： boundary value problems Numerical methods

boundary　value　problems　for　Singular　and　Time-delay　Measure　Differential　Systems　with　Impulsive　Effects

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Systems Science and Systems Engineering 1997年第3期7卷 7-13页

作者： WANG Wei LIU Yongqing Department of Automation, South China Univ. of Tech., Guangzhou 510641

In this paper, we investigate the structure of the solution of boundary value problems (BVP) for singular and time delay measure differential systems (STDMDS) with impulsive effects. By using fundamental theories of singular systems and time delay measure differential systems, well posed boundary condition and Green’s function matrix expression of solution for BVP of STDMDS with impulsive effects are obtained. The properties of the Green’s function matrix under the influence of impulsive effects is discussed.

关键词： boundary value problems Singular systems Time delay