On the existence of solutions to some nonlinear integrodifferential equations with delays.
Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “A note on the existence of solutions to some nonlinear functional integral equations.”
On the existence of solutions to some nonlinear integrodifferential equations with delays.
Qualitative properties of nonlinear Volterra integral equations.
Islam, M., Neugebauer, J.T. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On positive solutions of a class of second order nonlinear differential equations on the halfline
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.
Integral equations with contrasting kernels.
Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators
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.
Solutions to a three-point boundary value problem.
Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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Nonnegative solutions of a class of second order nonlinear differential equations
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.
On a fixed point theorem of Krasnosel'skii type and application to integral equations.
Ngoc, Le Thi Phuong, Long, Nguyen Thanh (2006)
Fixed Point Theory and Applications [electronic only]
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On monotonic solutions of an integral equation of Abel type
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.