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

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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.
DOI : 10.14708/ma.v52i2.7257
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.
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     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},
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     number = {2},
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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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