On the existence of nondecreasing solutions of an integral equation

• Autorzy: Caballero, J. , Lopez, B. , Rocha, J. , Sadarangani, K.
• Języki publikacji: EN

Abstrakty

EN

Using a technique associated with measures of noncompactness we prove the existence of nondecreasing solutions for an integral equation in C[O, 1].

Słowa kluczowe

PL

twierdzenie o punkcie stałym; niemalejące rozwiązania

EN

measure of noncompactness; fixed point theorem; nondecreasing solutions

• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2006
• Tom: Vol. 28
• Strony: 13-24
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Caballero, J.

autor

Lopez, B.

autor

Rocha, J.

autor

Sadarangani, K.

• Departamento de Matematicas Universidad de Las Palmas de Gran Canaria Campus de Tafira Baja 35017 Las Palmas de gran Canaria, Spain,

Bibliografia

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• |4] J. Banaś, L. Olszowy, Measures if noncompactness related to monotonicity, Comment. Math., 41 (2001), 13-23.
• [5] J. Banaś, K. Sadarangani, Solvability of Volterra-Stieltjes operator-integral equatiotis and their applications, Comput. Math. Applic., 41 (2001), 1535-1544.
• [6] K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, (Berlin, 1985).
• [7] S. Hu, M. Khavanin, W. Zhuang, Integral equations arising in the kinetic theory of gases, Appl. Analysis, 34 (1989),261-266.
• [8] D. O'Regan; M M. Meehan, Existence theory for nonlinear integral and integrodifferential equations, Kluwer Academic Publishers, (Dordrecht, 1998).