- -

On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs

Mostrar el registro completo del ítem

Georgiev Georgiev, S.; Mebarki, K. (2021). On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs. Applied General Topology. 22(2):259-294. https://doi.org/10.4995/agt.2021.13248

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/173896

Ficheros en el ítem

Metadatos del ítem

Título: On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs
Autor: Georgiev Georgiev, Svetlin Mebarki, Karima
Fecha difusión:
Resumen:
[EN] The aim of this work is two fold: first  we  extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction  obtained in \cite{DjebaMeb, Svet-Meb}, ...[+]
Palabras clave: Positive solution , Fixed point index , Cone , Sum of operators , ODEs , PDEs
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2021.13248
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2021.13248
Código del Proyecto:
info:eu-repo/grantAgreement/DGRSDT//C00L03UN060120180009/
Agradecimientos:
Direction Générale de la Recherche Scientifique et du Développement Technologique DGRSDT. MESRS Algeria. Projet PRFU: C00L03UN060120180009
Tipo: Artículo

References

S. Benslimane, S. G. Georgiev and K. Mebarki, Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and application in three-point BVPs, Studia UBB Math, to appear.

G. Cain and M. Nashed, Fixed points and stability for a sum of two operators in locally convex spaces, Pacific J. Math. 39 (1971), 581-592. https://doi.org/10.2140/pjm.1971.39.581

S. Djebali and K. Mebarki, Fixed point index theory for perturbation of expansive mappings by k-set contraction, Topol. Meth. in Nonlinear Anal. 54, no. 2 (2019), 613-640. https://doi.org/10.12775/TMNA.2019.055 [+]
S. Benslimane, S. G. Georgiev and K. Mebarki, Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and application in three-point BVPs, Studia UBB Math, to appear.

G. Cain and M. Nashed, Fixed points and stability for a sum of two operators in locally convex spaces, Pacific J. Math. 39 (1971), 581-592. https://doi.org/10.2140/pjm.1971.39.581

S. Djebali and K. Mebarki, Fixed point index theory for perturbation of expansive mappings by k-set contraction, Topol. Meth. in Nonlinear Anal. 54, no. 2 (2019), 613-640. https://doi.org/10.12775/TMNA.2019.055

S. Djebali and K. Mebarki, Fixed point index on translates of cones and applications, Nonlinear Studies 21, no. 4 (2014), 579-589.

D. Edmunds, Remarks on nonlinear functional equations, Math. Ann. 174 (1967), 233-239. https://doi.org/10.1007/BF01360721

S. G. Georgiev and K. Mebarki, Existence of positive solutions for a class ODEs, FDEs and PDEs via fixed point index theory for the sum of operators, Commun. on Appl. Nonlinear Anal. 26, no. 4 (2019), 16-40.

S. G. Georgiev and K. Mebarki, Existence of solutions for a class of IBVP for nonlinear parabolic equations via the fixed point index theory for the sum of two operators, New Trends in Nonlinear Analysis and Applications, to appear.

D. Guo, Y. J. Cho and J. Zhu, Partial Ordering Methods in Nonlinear Problems, Shangdon Science and Technology Publishing Press, Shangdon, 1985.

M. Nashed and J. Wong, Some variants of a fixed point theorem Krasnoselskii and applications to nonlinear integral equations, J. Math. Mech. 18 (1969), 767-777.

A. Polyanin and A. Manzhirov, Handbook of integral equations, CRC Press, 1998. https://doi.org/10.1201/9781420050066

V. Sehgal and S. Singh, A fixed point theorem for the sum of two mappings, Math. Japonica 23 (1978), 71-75.

T. Xiang and R. Yuan, A class of expansive-type Krasnosel'skii fixed point theorems, Nonlinear Anal. 71, no. 7-8 (2009), 3229-3239. https://doi.org/10.1016/j.na.2009.01.197

T. Xiang and S. G. Georgiev, Noncompact-type Krasnoselskii fixed-point theorems and their applications, Math. Methods Appl. Sci. 39, no. 4 (2016), 833-863. https://doi.org/10.1002/mma.3525

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem