POSITIVE SOLUTIONS OF q-DIFFERENCE EQUATION

MOUSTAFA EL-SHAHED; H. A. Hassan

doi:10.1090/S0002-9939-09-10185-5

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POSITIVE SOLUTIONS OF q-DIFFERENCE EQUATION

Journal article

Open access

Peer reviewed

POSITIVE SOLUTIONS OF q-DIFFERENCE EQUATION

MOUSTAFA EL-SHAHED and H. A. Hassan

Proceedings of the American Mathematical Society, Vol.138(5), pp.1733-1738

01/05/2010

DOI: https://doi.org/10.1090/S0002-9939-09-10185-5

Abstract

Applied mathematics

Banach space

Boundary conditions

Diagonal lemma

Greens function

Mathematics education

In this paper we investigate the existence of positive solutions of the q-difference equation $-D_{q}^{2}u(t)=a(t)f(u(t))$ with some boundary conditions by applying a fixed point theorem in cones.

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Title: POSITIVE SOLUTIONS OF q-DIFFERENCE EQUATION
Creators - without role: MOUSTAFA EL-SHAHED - Qassim University
H. A. Hassan - Public Authority for Applied Education and Training
Publication Details: Proceedings of the American Mathematical Society, Vol.138(5), pp.1733-1738
Publisher: American Mathematical Society
Identifiers: 9929037308331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article