On the Volterra integral equation and the Henstock-Kurzweil integral.
Bugajewski, D. (1998)
Mathematica Pannonica
Similarity:
Displaying similar documents to “Existence of solutions of second order boundary value problems with integral boundary conditions and singularities.”
On the Volterra integral equation and the Henstock-Kurzweil integral.
Nonnegative solutions of a class of second order nonlinear differential equations
S. Staněk (1992)
Annales Polonici Mathematici
Similarity:
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.
Existence of positive solutions for a class of higher-order -point boundary value problems.
Luca, R. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Properties of solutions to a generalized Liénard equation with forcing term.
Kroopnick, Allan (2008)
Applied Mathematics E-Notes [electronic only]
Similarity:
On positive solutions of a class of second order nonlinear differential equations on the halfline
Svatoslav Staněk (1995)
Annales Polonici Mathematici
Similarity:
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.
On the Cauchy problem for linear hyperbolic functional-differential equations
Alexander Lomtatidze, Jiří Šremr (2012)
Czechoslovak Mathematical Journal
Similarity:
We study the question of the existence, uniqueness, and continuous dependence on parameters of the Carathéodory solutions to the Cauchy problem for linear partial functional-differential equations of hyperbolic type. A theorem on the Fredholm alternative is also proved. The results obtained are new even in the case of equations without argument deviations, because we do not suppose absolute continuity of the function the Cauchy problem is prescribed on, which is rather usual assumption...
Solutions to a three-point boundary value problem.
Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
Similarity:
Integral equations with contrasting kernels.
Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Existence of positive solutions for multi-point boundary value problems.
Karna, B., Lawrence, B. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators
Jiří Šremr (2007)
Mathematica Bohemica
Similarity:
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.