We study nonlinear singular integral equation of Volterra type in Banach space of real functions defined and continuous on a bounded and closed interval. Using a suitable measure of noncompactness we prove the existence of monotonic solutions of the considered equation and its generalization. We illustrate our existence results by numerical examples.
Agarwal, R. P., O’Regan, D.
and Wong, P. J. Y.
Positive solutions of differential, difference and integral equations
, Kluwer Academic Publishers, Dordrecht, (1999).
Wong P. J. Y., '', in Positive solutions of differential, difference and integral equations, (1999) -.
Wong P. J. Y.Positive solutions of differential, difference and integral equations1999)| false
Argyros, I. K.
, Quadratic equations and applications to Chandrasekhar’s and related equations,
Bull. Austral. Math. Soc.
(1985), no. 2, 275–292.
Argyros I. K., 'Quadratic equations and applications to Chandrasekhar’s and related equations' (1985) 32Bull. Austral. Math. Soc.: 275-292.
Argyros I. K.Quadratic equations and applications to Chandrasekhar’s and related equationsBull. Austral. Math. Soc.198532275292)| false
Banás, J., Caballero, J., Rocha, J.
and Sadarangani, K.
, Monotonic solutions of a class of quadratic integral equations of Volterra type,
Comput. Math. App.
(2005), no. 5–6, 943–952.
Sadarangani K., 'Monotonic solutions of a class of quadratic integral equations of Volterra type' (2005) 49Comput. Math. App.: 943-952.
Sadarangani K.Monotonic solutions of a class of quadratic integral equations of Volterra typeComput. Math. App.200549943952)| false
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Studia Scientiarum Mathematicarum Hungarica
2021 Volume 58
Magyar Tudományos Akadémia
H-1051 Budapest, Hungary, Széchenyi István tér 9.
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