Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications

Sahbi Boussandel

Applications of Mathematics (2018)

  • Volume: 63, Issue: 4, page 423-437
  • ISSN: 0862-7940

Abstract

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We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method.

How to cite

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Boussandel, Sahbi. "Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications." Applications of Mathematics 63.4 (2018): 423-437. <http://eudml.org/doc/294779>.

@article{Boussandel2018,
abstract = {We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method.},
author = {Boussandel, Sahbi},
journal = {Applications of Mathematics},
keywords = {existence; anti-periodic boundary condition; Schaefer fixed-point theorem; continuity method; diffusion equation},
language = {eng},
number = {4},
pages = {423-437},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications},
url = {http://eudml.org/doc/294779},
volume = {63},
year = {2018},
}

TY - JOUR
AU - Boussandel, Sahbi
TI - Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications
JO - Applications of Mathematics
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 4
SP - 423
EP - 437
AB - We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method.
LA - eng
KW - existence; anti-periodic boundary condition; Schaefer fixed-point theorem; continuity method; diffusion equation
UR - http://eudml.org/doc/294779
ER -

References

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