The existence of monotonic solutions of a class of quadratic integral equations of Volterra type

• Autorzy: Karakurt Osman , Temizer Ӧmer Faruk

Identyfikatory

DOI

10.7862/rf.2019.8

• Języki publikacji: EN

Abstrakty

EN

Using the technique associated with measure of noncompactness we prove the existence of monotonic solutions of a class of quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval.

Słowa kluczowe

EN

nonlinear Volterra integral equations; measure of noncompactness; fixed point theorem

PL

nieliniowe równania całkowe Volterry; miara braku zgodności; twierdzenie o punkcie stałym

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2019
• Tom: Vol. 42
• Strony: 117--133
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Karakurt Osman

• Yesilyurt G. N. Mesleki ve Teknik Anadolu Lisesi Malatya, TURKEY

autor

Temizer Ӧmer Faruk

• Egitim Fakültesi, A-Blok, İnönü Üniversitesi, 44280-Malatya, TURKEY

Bibliografia

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• [2] I.K. Argyros, Quadratic equations applications to Chandrasekhar’s and related equations, Bull. Austral. Math. Soc. 32 (1985) 275–292.
• [3] J. Banaś J. Caballero, J. Rocha, K. Sadarangani, Monotonic solutions of a class of quadratic integral equations of Volterra type, Comput. Math. Applic. 49 (2005) 943–952.
• [4] J. Banaś, K. Goebel, Measures of Noncompactness in Banach Spaces, Marcel Dekker, New York, 1980.
• [5] J. Banaś, A. Martinon, On monotonic solutions of a quadratic integral equation of Volterra type, Comput. Math. Applic. 47 (2004) 271–279.
• [6] J. Banaś, L. Olszowy, Measure of noncompactness related to monotoncity, Comment. Math. 41 (2001) 13–23.
• [7] J. Banaś, K. Sadarangani, Solvabolity of Volterra-Stieltjes operator-integral equations and their applications, Comput. Math. Applic. 41 (12) (2001) 1535–1544.
• [8] G. Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova 24 (1955) 84–92.
• [9] K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985.
• [10] S. Hu, M. Khavanin, W. Zhuang, Integral equations arising in the kinetic theory of gases, Appl. Analysis 34 (1989) 261–266.
• [11] D. O’Regan, M.M. Meehan, Existence Theory for Nonlinear Integral and Integrodifferential Equations, Kluwer Academic Publishers, Dordrecht, 1998.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).