# 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

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topSotiris 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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