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THE nonlinear boundary value problem FOR A CLASS OF INTEGRO-DIFFERENTIAL SYSTEM

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Analysis in Theory and Applications 2006年第3期22卷 254-261页

作者： Rongrong Tang Huzhou Teachers College China

In this paper, using the theory of differential inequalities, we study the nonlinear boundary value problem for a class of integro-differential system. Under appropriate assumptions, the existence of solution is proved and the uniformly valid asymptotic expansions for arbitrary n-th order approximation and the estimation of remainder term are obtained simply and conveniently.

关键词： integro-differential system nonlinear boundary value problem differential inequality

EXISTENCE AND UNIQUENESS FOR SECOND-ORDER VECTOR boundary value problem OF nonlinear SYSTEMS

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Applied Mathematics(A Journal of Chinese Universities) 2005年第3期20卷 323-330页

作者： Du Zengji Lin Xiaojie Ge Weigao Dept. of Math. Beijing Institute of TechnologyBeijing 100081 China. Dept. of Math. Xuzhou Normal Univ. Xuzhou 221116 China.

This paper is concerned with the following second-order vector boundary value problem ：x^R=f（t,Sx,x,x＇）,0〈t〈1,x（0）=A,g（x（1）,x＇（1））=B,where x,f,g,A and B are n-vectors. Under appropriate assumptions,exis... 详细信息

关键词： vector differential equation nonlinear boundary value problem existence and uniqueness,upper and lower solutions method.

Multiplicity of solutions to a nonlinear two-point boundary value problem

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Progress in Natural Science:Materials International 1999年第8期 3-5页

作者：朱佩成秦玉明 China Fudan University Institute of Mathematics Shanghai 200433

The multiplicity of solutions to a nonlinear boundary value problem of ordinary differential equation, which is the stationary problem to an evolutionary system in shape memory alloys, is discussed. It is proved that ... 详细信息

关键词： nonlinear boundary value problem multiplicity of solution time map implicit function theo-rem.

nonlinear boundary value problemS FOR FIRST ORDER DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

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Annals of Differential Equations 2003年第3期19卷 431-438页

作者：张凤琴马知恩 Dept. of Applied Math. Xi'an Jiaotong University Xi'an 710049 Dept. of Math. Yuncheng College Yuncheng 044000 Dept. of Applied Math. Xi'an Jiaotong University Xi'an 710049

The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain some results of existence and un-iqueness for nonlinear boundary value problem of differential equatio... 详细信息

关键词： nonlinear boundary value problem monotone iterative technique lower and upper related solutions differential equations with piecewise constant arguments

THE SINGULARLY PERTURBED nonlinear boundary value problemS

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Applied Mathematics(A Journal of Chinese Universities) 2000年第4期15卷 377-382页

作者： Mo JiaqiDept.of Math.,Anhui Normal Univ.,Wuhu 241000. Dept. of Math. Anhui Normal Univ. Wuhu

The singularly perturbed nonlinear boundary value problems are *** the stretched variable and the method of boundary layer correction,the formal asymptotic expansion of solution is *** then the uniform validity of sol... 详细信息

关键词： Singular perturbation nonlinear boundary value problem differential inequality asymptotic expansion.

Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point ow over a stretching/shrinking sheet

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Applied Mathematics(A Journal of Chinese Universities) 2021年第3期36卷 354-369页

作者： M.R.Foroutan A.S.Gholizadeh Sh.Najafzadeh R.H.Haghi Department of Mathematics Payame Noor UniversityP O Box 19395-3697TehranIran

This paper investigates the nonlinear boundary value problem resulting from the exact reduction of the Navier-Stokes equations for unsteady magnetohydrodynamic boundary layer flow over the stretching/shrinking permeable sheet submerged in a moving *** solve this equation,a numerical method is proposed based on a Laguerre functions with reproducing kernel Hilbert space *** the operational matrices of derivative,we reduced the problem to a set of algebraic *** also compare this work with some other numerical results and present a solution that proves to be highly accurate.

关键词： nonlinear boundary value problem Laguerre reproducing kernel method operational matrix of derivative existence and nonexistence of solutions approximate solution

Approximate analytical solutions and approximate value of skin friction coeffcient for boundary layer of power law fluids

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Applied Mathematics and Mechanics(English Edition) 2008年第9期29卷 1215-1220页

作者：苏晓红郑连存蒋锋 Department of Mathematics and Physics North China Electric Power University Department of Mathematics and Mechanics University of Science and Technology Beijing

This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obtained. The approximate analytical solution can be expressed in terms of a rapid convergent power series with easily computable terms. Reliability and efficiency of the approximate solution are verified by comparing with numerical solutions in the literature. Moreover, the approximate solution can be successfully applied to provide values for the skin friction coefficient of the laminar boundary layer flow in power law non-Newtonian fluids.

关键词： power law fluid nonlinear boundary value problem Adomian decomposi-tion

GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A NONLOCAL EVOLUTION p-LAPLACE SYSTEM WITH nonlinear boundary CONDITIONS

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Acta Mathematica Scientia 2011年第3期31卷 1001-1010页

作者：吴学凇高文杰曹建文 Institute of Software Chinese Academy of Sciences Institute of Mathematics Jilin University

In this paper, the authors discuss the global existence and blow-up of the solution to an evolution p-Laplace system with nonlinear sources and nonlinear boundary condition. The authors first establish the local exist... 详细信息

关键词： evolution p-Laplacian nonlinear boundary value problem nonlinear sources global existence blow-up

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Journal of University of Science and Technology Beijing 2003年第4期10卷 29-32页

作者： LiancunZheng XinxinZhang JichengHe AppliedScienceSchool UniversityofScienceandTechnologyBeijingBeijing100083China MechanicalEngineeringSchool UniversityofScienceandTechnologyBeijingBeijing100083China ThermalEngineeringDepartment NortheasternUniversityShenyang110006China

A second order heat equation with convection in an infinite medium isstudied. Suitable similarity transformations are used to reduce the parabolic heat equation to aClass of singular nonlinear boundary value problems. Numerical solutions are presented for differentrepresehtations of heat conduction, heat convection, heat flux, and power law parameters byutilizing the shooting technique. The results reveal the heat transfer characteristic and the effectof parameters on the solutions.

关键词： heat transfer parabolic equation nonlinear boundary value problem positivesolution shooting technique.