A note on the existence of solutions to some nonlinear functional integral equations.
Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mohamed Abdalla Darwish (2008)
Mathematica Bohemica
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We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in . The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
Alexander Haščák, Marko Švec (1982)
Czechoslovak Mathematical Journal
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Ngoc, Le Thi Phuong, Long, Nguyen Thanh (2006)
Fixed Point Theory and Applications [electronic only]
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Dhage, B.C. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Svatoslav Staněk (1995)
Annales Polonici Mathematici
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The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Islam, M., Neugebauer, J.T. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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