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

Osman Karakurt; Ӧmer Faruk Temizer

doi:10.7862/rf.2019.8

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

Karakurt, Osman, Temizer, Ӧmer Faruk

Source

Journal of Mathematics and Applications > 2019 > Vol. 42 > 117--133

Abstract

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.

Identifiers

journal ISSN :	1733-6775
journal e-ISSN :	2300-9926
DOI	10.7862/rf.2019.8

Authors

Karakurt, Osman

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

Temizer, Ӧmer Faruk

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

nonlinear Volterra integral equations measure of noncompactness fixed point theorem

nieliniowe równania całkowe Volterry miara braku zgodności twierdzenie o punkcie stałym

nonlinear Volterra integral equations measure of noncompactness fixed point theorem

nieliniowe równania całkowe Volterry miara braku zgodności twierdzenie o punkcie stałym

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Publication languages: English

Data set: BazTech

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Oficyna Wydawnicza Politechniki Rzeszowskiej

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Bibliography

[1] R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Positive Solutions of Differential and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999.
[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.

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Karakurt, Osman

Temizer, Ӧmer Faruk

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Bibliography

[1] R.P. Agarwal, D. O’Regan, P.J.Y. Wong, Positive Solutions of Differential and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999.

[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.

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