Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q

Sotiris K. Ntouyas; Thanin Sitthiwirattham; Jessada Tariboon

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2014)

  • Volume: 34, Issue: 1, page 41-59
  • ISSN: 1509-9407

Abstract

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In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.

How to cite

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Sotiris K. Ntouyas, Thanin Sitthiwirattham, and Jessada Tariboon. "Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 34.1 (2014): 41-59. <http://eudml.org/doc/270254>.

@article{SotirisK2014,
abstract = {In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.},
author = {Sotiris K. Ntouyas, Thanin Sitthiwirattham, Jessada Tariboon},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {q-difference inclusions; nonlocal boundary conditions; fixed point theorems; -difference inclusions},
language = {eng},
number = {1},
pages = {41-59},
title = {Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q},
url = {http://eudml.org/doc/270254},
volume = {34},
year = {2014},
}

TY - JOUR
AU - Sotiris K. Ntouyas
AU - Thanin Sitthiwirattham
AU - Jessada Tariboon
TI - Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2014
VL - 34
IS - 1
SP - 41
EP - 59
AB - In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.
LA - eng
KW - q-difference inclusions; nonlocal boundary conditions; fixed point theorems; -difference inclusions
UR - http://eudml.org/doc/270254
ER -

References

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