Approximation of Solution of Some m-Point Boundary Value Problems on Time Scales

被引：0

作者：

Khan, Rahmat Ali ^{[2
]}

Rafique, Mohammad ^{[1
]}

机构：

[1] Natl Univ Sci & Technol NUST, Coll Elect & Mech Engn, Dept Basic Sci, Rawalpindi 46000, Pakistan

[2] Natl Univ Sci & Technol NUST, Ctr Adv Math & Phys, Islamabad 46000, Pakistan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

GENERALIZED QUASI-LINEARIZATION; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATION; EXISTENCE;

D O I：

10.1155/2010/841643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of upper and lower solutions and the generalized quasilinearization technique for second-order nonlinear m-point dynamic equations on time scales of the type x(Delta Delta)(t) = f(t, x(sigma)), t epsilon [0,1](T) = [0, 1] boolean AND T, x(0) = 0, x(sigma(2)(1)) = Sigma(m-1)(i=1) alpha(i)x(eta(i)), eta(i) epsilon (0,1)(T,) Sigma(m-1)(i=1) alpha(i) <= 1, are developed. A monotone sequence of solutions of linear problems converging uniformly and quadratically to a solution of the problem is obtained.

引用

页数：11

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