Journal of the Australian Mathematical Society (Series A)

Table of Contents - 1987 - Volume 43, Issue 01  

Research Article

On the solvability of nonlinear noncompact operator equations

E. U. Tarafdara1, H. B. Thompsona1 and R. O. Vyborny

a1 Department of Mathematics, University of Queensland, St. Lucia, Queensland, Australia 4067

Abstract

The notion of (p, k)-epi mappings is introduced. The properties of such mappings are studied and the results obtained are applied to some differential equations.

(Received February 04 1986)

1980 Mathematics subject classification (Amer. Math. Soc.)

  • primary 47 H 15;
  • secondary 47 H 10, 34 K 10, 35 L 15

Keywords and phrases

  • admissible mapping;
  • p-epi;
  • (p, k)-epi;
  • k-set contraction;
  • measure of unsolvability