On the solvability of nonlinear noncompact operator equations

Journal of the Australian Mathematical Society

Volumn 43, Issue 1, 1987, Pages 103-126

  Tarafdar, E U ^a   Thompson, H B ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

(p, k) epi; Admissible Mapping; k set contraction; Measure of Unsolvability; p epi

Indexed keywords

EID: 84974398942     PISSN: 14467887     EISSN: 14468107     Source Type: Journal    
DOI: 10.1017/S1446788700029025     Document Type: Article

References (10)

1. M. Furi, M. Martelli and A. Vignoli, “On the solvability of nonlinear operator equations in normed spaces”, Ann. Mat. Pura Appl. 124 (1980), 321–343.
2. D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order(Springer-Verlag, New York, 1983).
3. I. C. Gokhberg, L. S. Goldstein and A. S. Markus, “Investigation of some properties of bounded linear operators in connection with q-norms”, Uchen. Zap. Kishinev. Gos. Univ. 29 (1957), 29–36.
4. A. Granas, “The theory of compact vector fields and some applications to the theory of functional spaces”, Rozprawy Matematyezne, Warszawa, 30 (1962).
5. P. Hartman and A. Wintner, “On hyperbolic partial differential equations,” Amer. J. Math. 74 (1952), 834–864.
6. K. Kuratowski, “Sur les espaces comptets”, Fund. Math. 15 (1930), pp. 301–319.
7. N. G. Lloyd, Degree theory (Cambridge University Press, London, 1978).
8. Robert H. Martin, Jr., Nonlinear operators and differential equations in Banach spaces (John Wiley and Sons, New York, 1976).
9. R. D. Nussbaum, “The fixed point index for local condensing maps”, Ann. Mat. Pura Appl. 124 (1971), 217–258.
10. M. M. Vainberg, Variational methods for the study of nonlinear operators (Holden-Day Inc., London, 1964).