On exactness of upper estimates of the characteristic exponent of a linear system with exponentially decreasing perturbations.
On Existence and Asymptotic Properties of Kneser Solutions to Singular Second Order ODE.
We investigate an asymptotic behaviour of damped non-oscillatory solutions of the initial value problem with a time singularity , , on the unbounded domain . Function is locally Lipschitz continuous on and has at least three zeros , and . The initial value . Function is continuous on has a positive continuous derivative on and . Asymptotic formulas for damped non-oscillatory solutions and their first derivatives are derived under some additional assumptions. Further, we provide...
On existence and uniqueness of positive solutions for integral boundary boundary value problems.
On existence and uniqueness of solutions for ordinary differential equations with nonlinear boundary conditions
We prove an existence and uniqueness theorem for a nonlinear functional boundary value problem, that is, an ordinary differential equation with a nonlinear boundary condition. The proof is based on a Global Inversion Theorem of Ambrosetti and Prodi, which is applied to the boundary operator restricted to the manifold of the global solutions to the equation. Our result is a generalization of an analogous existence and uniqueness theorem of G. Vidossich, as it is shown with some examples.
On existence of Kneser solutions of a certain class of -th order nonlinear differential equations
The paper deals with existence of Kneser solutions of -th order nonlinear differential equations with quasi-derivatives.
On existence of nonoscillatory solutions in forced nonlinear differential equations.
On existence of oscillatory solution of the system of differential equations
On existence of periodic solutions of the Rayleigh equation of retarded type.
On Existence of Positive Periodic Solutions.
On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument
The existence of positive periodic solutions for a kind of Rayleigh equation with a deviating argument is studied. Using the coincidence degree theory, some sufficient conditions on the existence of positive periodic solutions are obtained.
On existence of proper solutions of quasilinear second order differential equations.
On existence of singular solutions of -th order differential equations
On existence of solutions of a neutral differential equation with deviation argument.
On existence of solutions to the periodic boundary value problem for a nonlinear system of generalized ordinary differential equations.
On existence theorems for semilinear equations and applications
Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.
On exponential dichotomy of semigroups.
On exponential growth of solutions of abstract initial value problems
On exponential stability of second order delay differential equations
We propose a new method for studying stability of second order delay differential equations. Results we obtained are of the form: the exponential stability of ordinary differential equation implies the exponential stability of the corresponding delay differential equation if the delays are small enough. We estimate this smallness through the coefficients of this delay equation. Examples demonstrate that our tests of the exponential stability are essentially better than the known ones. This method...
On exponents of p-adic differential modules.
On extremal solutions to infinite dimensional non-linear second order systems