MULTIVALUED NONLINEAR EQUATIONS ON THE HALF LINE: A FIXED POINT APPROACH

  • Agarwal, Ravi-P. (Department of Mathematical Sciences, Florida Institute of Technology) ;
  • O'regan, Donal (Department of Mathematics, National University of Ireland)
  • Published : 2002.05.01

Abstract

New fixed point theorems of the authors are used to establish the existence of one (or more) C[0, $infty$) solutions to the nonlinear integral inclusion $y(t)\in{\int_0}^{\infty}K(t,s)F(s,y(s))ds\;for\;t\in[0,\infty)$.

Keywords

References

  1. Nonlinear Analysis v.42 Fixed points in Frechet spaces and variational inequalities R.P.Agarwal;D.O'Regan
  2. Differential inclusions J.P.Aubin;A.Cellina
  3. Nonlinear Analysis v.9 Existence of bounded solutions for multivalued differential systems M.Cecchi;M.Marini;P.Zecca
  4. Water de Gruyter Multivalued differential equations K.Deimling
  5. Linear Operators N.Dunford;J.Schwartz
  6. Pacific Jour. Math. v.54 Fixed point theorems for multivalued noncompact acyclic mappings P.M.Fitzpatrick;W.V.Petryshyn
  7. Topological Methods in Differential Equations and Inclusions, NATO ASI Series C v.472 Theoremes d'existence de solutions d'inclusions differentielles M.Frigon;A.Granas(ed.);M.Frigon(ed.)
  8. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astron. Phys. v.13 An application of the Kututani-Ky Fan theorem in the theory of ordinary differential equations A.Lasota;Z.Opial
  9. Proc. Amer. Math. Soc. v.124 Integral inclusions of upper semi-continuous of lower semi-continuous type D.O'Regan
  10. Zeitschrift fur Analysis und ihre Anwendungen v.19 A multiplicity fixed point theorem in Frechet spaces D.O'Regan
  11. Nonlinear Analysis v.5 Topological degree methods in multivalued boundary value problems T.Pruszko