Successive iteration of positive solution for a discontinuous third-order boundary value problem

Authors:
Qingliu Yao
Affiliations:
Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 5
Cited 4

Topological transversality: Applications to third order boundary value problems

SIAM Journal on Mathematical Analysis
Existence of solution for discontinuous third order boundary value problems

Journal of Computational and Applied Mathematics
Monotone iterative technique and positive solutions of lidstone boundary value problems

Applied Mathematics and Computation
Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems

Applied Mathematics and Computation
Successive iteration and positive solution for nonlinear second-order three-point boundary value problems

Computers & Mathematics with Applications

Existence of positive solutions for various boundary value problems

Computers & Mathematics with Applications
An iterative method for a class of quasilinear boundary value problems

Journal of Computational and Applied Mathematics
Nonnegative solutions of fractional functional differential equations

Computers & Mathematics with Applications
Positive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions

WSEAS Transactions on Mathematics

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, we obtain a successively iterative scheme of positive solution for the nonlinear third-order two-point boundary value problem u^@?+q(u^'')f(t,u)=0,u(0)=A,u(1)=B,u^''(0)=C, where f is a Caratheodory function, f and q satisfy some additional monotone conditions. The iterative scheme starts off with zero function and is therefore useful for computation purpose. The main tool is monotone iterative technique on Banach space. Moreover, the iterative scheme is independent of the existence of lower and upper solutions.