On nonresonance problems of second-order difference systems.
On numerical solution of a mildly nonlinear turning point problem
On one class of solvable boundary value problems for ordinary differential equation of -th order
On one class of solvable boundary value problems for ordinary differential equation of -th order
New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of -th order with certain functional boundary conditions are constructed by the method of a priori estimates.
On parametrized problems with non-linear boundary conditions.
On positive solutions for a nonlinear boundary value problem with impulse
In this paper we study nonlinear second order differential equations subject to separated linear boundary conditions and to linear impulse conditions. Sign properties of an associated Green’s function are investigated and existence results for positive solutions of the nonlinear boundary value problem with impulse are established. Upper and lower bounds for positive solutions are also given.
On positive solutions of a class of second order nonlinear differential equations on the halfline
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 positive solutions of semilinear elliptic problems
On Quasilinear Parabolic Systems.
On second order differential inclusions with periodic boundary conditions.
On second order periodic boundary-value problems with upper and lower solutions in the reversed order.
On second-order differential equations with nonhomogeneous -Laplacian.
On singular boundary value problems for two-dimensional differential systems
On solutions of a fourth-order Lidstone boundary value problem at resonance
We consider a Lidstone boundary value problem in at resonance. We prove the existence of a solution under the assumption that the nonlinear part is a Carathéodory map and conditions similar to those of Landesman-Lazer are satisfied.
On solutions of some fractional -point boundary value problems at resonance.
On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities.
On solvability of nonlinear boundary value problems for the equation with one-sided growth restrictions on
We consider boundary value problems for second order differential equations of the form with the boundary conditions , , where are continuous functions, satisfies the local Carathéodory conditions and are continuous and nondecreasing functionals. Existence results are proved by the method of lower and upper functions and applying the degree theory for -condensing operators.
On some boundary value problems for high-order ordinary differential equations.
On some boundary value problems for nonlinear fourth order ordinary differential equations
On some modification of the Levinson operator and its application to a three-point boundary value problem