The connectivity and compactness of solution set of an integral equation and weak solution set of an initial-boundary value problem

• Autorzy: Hoa L. , Ngoc L.
• Języki publikacji: EN

Abstrakty

EN

In this paper we show that the set of solutions to the following integral equation.

Słowa kluczowe

EN

topological degree; topological space; compact vector fields; relatively compact set; integral equations

PL

stopnie topologiczne; przestrzeń topologiczna; pole wektorowe; równania całkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 357--376
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Hoa L.

autor

Ngoc L.

• Department of Mathematics Hochiminh City University of Education, 280 An Duong Vuong Str. Dist. 5, Hochiminh City, Vietnam

Bibliografia

• [1] K. Deimling, Nonlinear Functional Analysis, Springer, NewYork, 1985.
• [2] L. H. Hoa, K. Schmitt, Fixed point theorem of Krasnosel'skii type in locally convex spaces and applications to integral equations, Results in Math. 25 (1994), 290-314.
• [3] L. H. Hoa, K. Schmitt, Periodic solutions of functional differential equations of retarded and neutral types in Banach spaces, Boundary Value Problems for Functional Differential Equations, Editor Johnny Henderson, World Scientific, (1995), 177-185.
• [4] M. A. Krasnosel'ski i, P. P. Zabreiko, Geometrical Methods of Nonlinear Analysis, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984.
• [5] N. T. Long, A. P. N. Dinh, A semilinear wave equation associated with a linear differential with Cauchy data, Nonlinear Anal. 24 (1995), 1261-1279.
• [6] N. T. Long, T. M. Thuyet, A semilinear wave equation associated with a nonlinear integral equation, Demonstratio Math. 36, No 4, (2003), 915-938.
• [7] E. Zeidler, Nonlinear Functional Analysis and its Applications, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, Part I.