NONLINEAR INTEGRODIFFERENTIAL EQUATIONS OF SOBOLEV TYPE WITH NONLOCAL CONDITIONS IN BANACH SPACES

  • K. Balachandran (Department of Mathematics Bharathiar University) ;
  • Park, D.G. (Department of Mathematics Dong-A University) ;
  • Kwun, Y.C. (Department of Mathematics Dong-A University)
  • Published : 1999.01.01

Abstract

In this paper we prove the existence of solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal conditions. The results are obtained by using compact semigroups and the Schauder fixed point theorem.

Keywords

References

  1. J. Appl. Stoch. Anal. v.10 Exstence of solutions of nonlinear integrodifferential equations with nonlocal condition K. Balachandran;M. Chandrasekaran
  2. Indian J. Pure. Appl. Math. v.27 Exstence of solutions of a delay differential equation with nonlocal condition K. Balachandran
  3. Indian. J. Pure. Appl. Math. v.25 Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal condition K. Balachandran;S. Ilamaran
  4. Tamkang J. Math. v.28 Existence and uniqueness of mild and strong solution of a Volterra integrodifferential equation with nonlocal conditions K. Balachandran
  5. J. Appl. Math. Mech. v.24 Basic comcepts in the theory of seepage of honogeneous liquids in fissured rocks G. Barenblat;J. Zheltor;I. Kochiva
  6. J. Differential Equations v.24 A semilinear Sobolev evolution equation in Banach space H. Brill
  7. J. Math. Anal. Appl. v.162 Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem L. Buszewski
  8. Appl. Anal. v.40 Theorems about the existence and uniqueness of solution of a nonlocal abstact Cauchy problem in Bnach space L. Byszywski;V. lakshmikantham
  9. Z. Angew. Math. Phys. v.19 On a theory of heat conduction involving two temperatures P.J. Chem;M.E. Curtin
  10. Internal. J. Nonlinear Mech. v.3 A second order fluid of the differential type R. Huilgol
  11. J. Math. Anal. Appl. v.172 Extistence and uniqueness of solutions to semilinear nonlocal parabolic equtions D. Jackson
  12. J. Math. Anal. Appl. v.190 On the heat equation with nonlinear and nonlocal boundary conditions B. Jumarhon;S. McKee
  13. Libertas Mathmatica v.15 Exstence and uniqueness of solutions of a integrodifferential equations with nonlocal condition S. Ilamaran;K. Balachandran
  14. Semigroups of Linear Operators and Apllications to Partial Differential Equations A. Pazy
  15. SIAM J. Math. Anal. v.3 Exstence and representation theorem for a semilinear Sobolev equation in banach space R.E. Showalter
  16. Arch. Rational Mech. Anal. v.14 Certain nonsteady flows of second order fluids T.W. Tong