On non-existence of periodic solutions of an important differential equation
On nonincreasing singular solutions to the Emden-Fowler equation.
On nonlinear boundary value problem for systems of differential equations with impulses
On non-linear boundary value problems containing parameters
On nonlinear two-point boundary value problems for higher-order ordinary differential equations.
On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem.
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 Orthogonal Series Solution For Boundary Layer Problems
On parametrized problems with non-linear boundary conditions.
On periodic-type solutions of systems of linear ordinary differential equations.
On Poisson-Dirichlet problems with polynomial data
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid in Rd, that have polynomial data, also have polynomial solutions. Our proofs use basic stochastic calculus. The existing proofs are based on famous lemma by E. Fisher which we do not use, and present a simple martingale proof of it as well.
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 random boundary value problems for ordinary differential equations
On relation between stability and correctness of linear systems of generalized ordinary differential equations.