[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.2.319

THE METHOD OF QUASILINEARIZATION AND A THREE-POINT BOUNDARY VALUE PROBLEM

Eloe, Paul W. (Department of Mathematics, University of Dayton)
Gao, Yang (Department of Mathematics, University of Dayton)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.2, 2002 , pp. 319-330 More about this Journal

Abstract

The method of quasilinearization generates a monotone iteration scheme whose iterates converge quadratically to a unique solution of the problem at hand. In this paper, we apply the method to two families of three-point boundary value problems for second order ordinary differential equations: Linear boundary conditions and nonlinear boundary conditions are addressed independently. For linear boundary conditions, an appropriate Green\`s function is constructed. Fer nonlinear boundary conditions, we show that these nonlinearities can be addressed similarly to the nonlinearities in the differential equation.

Keywords

quasilincarization; quadratic convergence; boundary value problem; nonlinear boundary condition;

Citations & Related Records

Times Cited By Web Of Science : 21 (Related Records In Web of Science)
Times Cited By SCOPUS : 26

Reference
Cited By SCOPUS

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1	/ Journal of Difference Equations and Applications
2	/ Electronic Journal of Qualitative Theory of Differential Equations
3	/ Nonlinear Analysis, Theory, Methods and Applications
4	/ Communications of the Korean Mathematical Society
5	/ Nonlinear Analysis, Theory, Methods and Applications
6	/ Dynamic Systems and Applications
7	/ Applied Mathematics Letters
8	/ Electronic Journal of Qualitative Theory of Differential Equations
9	/ Applied Mathematics and Computation (New York)
10	/ Applied Mathematics and Computation (New York)
11	/ Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
12	/ Mathematical Inequalities and Applications
13	/ Applied Mathematics and Computation (New York)
14	/ Journal of the Korean Mathematical Society
15	/ Electronic Journal of Differential Equations
16	/ Communications on Applied Nonlinear Analysis
17	/ Applied Mathematical Sciences
18	/ Boundary Value Problems
19	/ Nonlinear Analysis, Theory, Methods and Applications
20	/ Dynamic Systems and Applications
21	/ Nonlinear Analysis: Real World Applications
22	/ Boundary Value Problems
23	/ Electronic Journal of Qualitative Theory of Differential Equations
24	/ Electronic Journal of Qualitative Theory of Differential Equations
25	/
26	/ Mathematical Problems in Engineering

1	MONOTONE ITERATION SCHEME FOR A FORCED DUFFING EQUATION WITH NONLOCAL THREE-POINT CONDITIONS / [Alsaedi, Ahmed;] / Communications of the Korean Mathematical Society
2	MONOTONE ITERATION SCHEME FOR IMPULSIVE THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS WITH QUADRATIC CONVERGENCE / [Ahmad, Bashir;Alsaedi, Ahmed;Garout, Doa'a;] / Journal of the Korean Mathematical Society