On asymptotic properties of oscillatory solutions of the system of differential equations of fourth order
On bounded nonoscillatory solutions of third-order nonlinear differential equations
This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.
On certain comparison theorems for half-linear dynamic equations on time scales.
On certain properties of the solutions of a nonlinear differential equation of the second order
On certain singular third order eigenvalue problem
In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5].
On certain third order eigenvalue problem
On conjugacy functions of second-order linear differential equations
On conjugacy of high-order linear ordinary differential equations.
On conjugate points of solutions of non-selfadjoint differential systems
On distance between zeros of solutions of third order differential equations
The lower bounds of the spacings b-a or a’-a of two consecutive zeros or three consecutive zeros of solutions of third order differential equations of the form y”’ + q(t)y’ + p(t)y = 0 (*) are derived under very general assumptions on p and q. These results are then used to show that or as n → ∞ under suitable assumptions on p and q, where ⟨tₙ⟩ is a sequence of zeros of an oscillatory solution of (*). The Opial-type inequalities are used to derive lower bounds of the spacings d-a or b-d for...
On distribution of zeros of solutions of the differential equation
On equation of finite type, 1-special, with the same central dispersion of the first kind
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 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 oscillatory solution of the system of differential equations
On existence of proper solutions of quasilinear second order differential equations.
On focal points and limit behavior of solutions of linear differential equations
On functions describing a distribution of zeros of solutions of an iterated linear differential equation of the fourth order
On -solutions of the differential equation
On Levin΄s Comparison Theorem