On nonlocal second order perturbed pseudo integro-differential evolution equations with infinite state-dependent delay
Mathematica Applicanda, Tome 52 (2024) no. 2, pp. 271-298
Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series
The goal of this work is to study the existence of mild solutions for the nonlocal second-order partial and neutral perturbed pseudo-integrodifferential evolution equations with infinite state-dependent delay, using Avramescu nonlinear alternative for the sum of compact operators and contractions maps in Fréchet spaces combined with semi-group theory.
Classification :
34G20, 34K26, 37L05, 34K40, 47H20, 74H20, 47Gxx.
Mots-clés : Perturbed pseudo-integrodifferential evolution equations, second-order, nonlocal conditions, neutral problems, mild solutions, state-dependent delay, fixed point, nonlinear alternative, semigroup, Fréchet spaces, infinite delay.
Mots-clés : Perturbed pseudo-integrodifferential evolution equations, second-order, nonlocal conditions, neutral problems, mild solutions, state-dependent delay, fixed point, nonlinear alternative, semigroup, Fréchet spaces, infinite delay.
@article{10_14708_ma_v52i2_7257,
author = {Imane Abibssi and Selma Baghli-Bendimerad},
title = {On nonlocal second order perturbed pseudo integro-differential evolution equations with infinite state-dependent delay},
journal = {Mathematica Applicanda},
pages = { 271--298},
year = {2024},
volume = {52},
number = {2},
doi = {10.14708/ma.v52i2.7257},
language = {pl},
url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i2.7257/}
}
TY - JOUR AU - Imane Abibssi AU - Selma Baghli-Bendimerad TI - On nonlocal second order perturbed pseudo integro-differential evolution equations with infinite state-dependent delay JO - Mathematica Applicanda PY - 2024 SP - 271 EP - 298 VL - 52 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i2.7257/ DO - 10.14708/ma.v52i2.7257 LA - pl ID - 10_14708_ma_v52i2_7257 ER -
%0 Journal Article %A Imane Abibssi %A Selma Baghli-Bendimerad %T On nonlocal second order perturbed pseudo integro-differential evolution equations with infinite state-dependent delay %J Mathematica Applicanda %D 2024 %P 271-298 %V 52 %N 2 %U http://geodesic.mathdoc.fr/articles/10.14708/ma.v52i2.7257/ %R 10.14708/ma.v52i2.7257 %G pl %F 10_14708_ma_v52i2_7257
Imane Abibssi; Selma Baghli-Bendimerad. On nonlocal second order perturbed pseudo integro-differential evolution equations with infinite state-dependent delay. Mathematica Applicanda, Tome 52 (2024) no. 2, pp. 271-298. doi: 10.14708/ma.v52i2.7257
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