Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions

S.K. Ntouyas; D. O'Regan

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2007)

  • Volume: 27, Issue: 2, page 213-264
  • ISSN: 1509-9407

Abstract

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In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

How to cite

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S.K. Ntouyas, and D. O'Regan. "Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 27.2 (2007): 213-264. <http://eudml.org/doc/271179>.

@article{S2007,
abstract = {In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.},
author = {S.K. Ntouyas, D. O'Regan},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {semilinear differential inclusions; nonlocal conditions; analytic semigroups; cosine functions; integrated semigroups; fixed point; nonlinear alternative; controllability; differential inclusions; neutral abstract equations},
language = {eng},
number = {2},
pages = {213-264},
title = {Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions},
url = {http://eudml.org/doc/271179},
volume = {27},
year = {2007},
}

TY - JOUR
AU - S.K. Ntouyas
AU - D. O'Regan
TI - Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2007
VL - 27
IS - 2
SP - 213
EP - 264
AB - In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
LA - eng
KW - semilinear differential inclusions; nonlocal conditions; analytic semigroups; cosine functions; integrated semigroups; fixed point; nonlinear alternative; controllability; differential inclusions; neutral abstract equations
UR - http://eudml.org/doc/271179
ER -

References

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