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.
Purnaras, I.K. (2006)
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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Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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S. Staněk (1992)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
Jiří Šremr (2007)
Mathematica Bohemica
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We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.
Darwish, M.A. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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