Second order differential equations with Dirichlet boundary conditions

被引：2

作者：

Jankowski, T ^{[1
]}

机构：

[1] Gdansk Univ Technol, Dept Differential Equat, Gdansk, Poland

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2005年 / 16卷 / 03期

关键词：

Dirichlet boundary conditions; second order differential equations; approximate solutions; quasilinearization; convergence;

D O I：

10.1080/1065246042000272045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use a quasilinearization method to find an approximate solution of a nonlinear Dirichlet problem for second order differential equations. Sufficient conditions are formulated to obtain weak-quadratic, semi-quadratic or quadratic convergence of approximate solutions.

引用

页码：235 / 239

页数：5

共 50 条

[1] Globally positive solutions of linear parabolic partial differential equations of second order with dirichlet boundary conditions
Mierczynski, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (02) : 326 - 347
[2] On the solution of second order differential equations satisfying boundary conditions
Morgans, WR
[J]. PHILOSOPHICAL MAGAZINE, 1941, 32 (215): : 483 - 488
[3] Inverse problems for second-order differential pencils with Dirichlet boundary conditions
Buterin, Sergey A.
Yurko, Vjacheslav A.
[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2012, 20 (5-6): : 855 - 881
[4] EXISTENCE AND MULTIPLICITY RESULTS FOR NONLINEAR SECOND ORDER DIFFERENCE EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS
Bereanu, Cristian
Mawhin, Jean
[J]. MATHEMATICA BOHEMICA, 2006, 131 (02): : 145 - 160
[5] DEPENDENCE OF SOLUTIONS ON BOUNDARY CONDITIONS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
KLAASEN, G
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1970, 7 (01) : 24 - &
[6] Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
Nieto, JJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (09) : 2599 - 2604
[7] DIRICHLET BOUNDARY VALUE PROBLEM FOR A SYSTEM OF n SECOND ORDER ASYMPTOTICALLY ASYMMETRIC DIFFERENTIAL EQUATIONS
Gritsans, Armands
Sadyrbaev, Felix
Yermachenko, Inara
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[8] Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
Lin, Xiaoning
Jiang, Daqing
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (02) : 501 - 514
[9] A Numerical Method for Solving Second-Order Linear Partial Differential Equations Under Dirichlet, Neumann and Robin Boundary Conditions
Yuzbasi, Suayip
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 14 (02)
[10] Multiplicity of solutions for Dirichlet boundary conditions of second-order quasilinear equations with impulsive effects
Shen, Tengfei
Liu, Wenbin
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (97)

← 1 2 3 4 5 →