Boundary value problems for functional-differential equations with nonlinear boundary conditions

Panagiotis Ch. Tsamatos

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 2, page 257-266
  • ISSN: 0044-8753

Abstract

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This paper is concerned with the existence of solutions for some class of functional integrodifferential equations via Leray-Schauder Alternative. These equations arised in the study of second order boundary value problems for functional differential equations with nonlinear boundary conditions.

How to cite

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Tsamatos, Panagiotis Ch.. "Boundary value problems for functional-differential equations with nonlinear boundary conditions." Archivum Mathematicum 034.2 (1998): 257-266. <http://eudml.org/doc/248209>.

@article{Tsamatos1998,
abstract = {This paper is concerned with the existence of solutions for some class of functional integrodifferential equations via Leray-Schauder Alternative. These equations arised in the study of second order boundary value problems for functional differential equations with nonlinear boundary conditions.},
author = {Tsamatos, Panagiotis Ch.},
journal = {Archivum Mathematicum},
keywords = {Leray-Schauder Alternative; a priori bounds; functional integrodifferential equations; second order boundary value problem; nonlinear boundary conditions; functional-integrodifferential equations; nonlinear boundary value problem; existence; Leray-Schauder alternative},
language = {eng},
number = {2},
pages = {257-266},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Boundary value problems for functional-differential equations with nonlinear boundary conditions},
url = {http://eudml.org/doc/248209},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Tsamatos, Panagiotis Ch.
TI - Boundary value problems for functional-differential equations with nonlinear boundary conditions
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 2
SP - 257
EP - 266
AB - This paper is concerned with the existence of solutions for some class of functional integrodifferential equations via Leray-Schauder Alternative. These equations arised in the study of second order boundary value problems for functional differential equations with nonlinear boundary conditions.
LA - eng
KW - Leray-Schauder Alternative; a priori bounds; functional integrodifferential equations; second order boundary value problem; nonlinear boundary conditions; functional-integrodifferential equations; nonlinear boundary value problem; existence; Leray-Schauder alternative
UR - http://eudml.org/doc/248209
ER -

References

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  8. Boundary Value Problems for Functional Differential Equations,, World Scientific, 1982. (1982) MR1375459
  9. An existence principle for boundary value problems for second order functional differential equations, Nonlinear Analysis T.M.A. 20 (1993), 195–209. (1993) MR1202200
  10. Boundary value problems for functional differential equations, J.Math.Anal.Appl. 199 (1996), 213–230. (1996) MR1381388
  11. Weak and strong topologies and integral equations in Banach spaces, Ann. Polon. Math. LXL3 (1995), 245–260. (1995) MR1333250
  12. Boundary value problems with nonlinear boundary conditions, acta Math. Inform. Universitatis Ostraviensis 2 (1994), 71–77. (1994) MR1309065
  13. Some results on boundary value problems for functional differential equations, Internat. J. Math. and Math. Sci. 19 (1995), 335–342. (1995) MR1375998

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