Differential equations of the form y’ = f(t,y,y’), where f is not necessarily linear in its arguments, represent certain physical phenomena and solutions have been known for quite some time. The well known Clairut’s and Chrystal’s equations fall into this category. Earlier existence of solutions of first order initial value problems and stability of solutions of first order ordinary differential system of the above type were established. In this paper we study boundedness and asymptotic stability in the large of solutions of an ordinary differential system of the above type under certain natural hypotheses on f
AbstractIn this paper asymptotic behavior of solutions of the integrodifferential system x′(t) = A(t...
In the present paper, the initial value problem for the first order ordinary differential equation w...
summary:In this paper new generalized notions are defined: ${\bold\Psi}$-boundedness and ${\bold\Psi...
In this paper we prove the of solutions, of some kinds of differential equations, and system of firs...
The object of this dissertation is to discuss the stability in the large of the trivial solution for...
We consider systems of differential equations of the form (1) x’ = f(t,x), for t ∊ [a,∞), x in some ...
In this paper we generalize Bownds' Theorems (1) to the systems dY(t)dt=A(t)Y(t) and dX(t)dt=A(t)X(t...
In this paper we extend the guiding function approach to show that there are periodic or bounded sol...
AbstractWe study the global existence, boundedness, and stability of solutions of a class of semilin...
summary:In this paper, there are derived sufficient conditions for exponential and asymptotic stabil...
AbstractWe give necessary and sufficient conditions for the solutions of the differential equation (...
We consider an initial value problem (I. V. P.) of a first order nonlinear ordinary differential equ...
We consider an initial value problem (I. V. P.) of a first order nonlinear ordinary differential equ...
This paper studies the stability of solutions of some third order nonautonomous differential equatio...
Abstract. It is proved a necessary and sufficient condition for the existence of Ψ-bounded solutions...
AbstractIn this paper asymptotic behavior of solutions of the integrodifferential system x′(t) = A(t...
In the present paper, the initial value problem for the first order ordinary differential equation w...
summary:In this paper new generalized notions are defined: ${\bold\Psi}$-boundedness and ${\bold\Psi...
In this paper we prove the of solutions, of some kinds of differential equations, and system of firs...
The object of this dissertation is to discuss the stability in the large of the trivial solution for...
We consider systems of differential equations of the form (1) x’ = f(t,x), for t ∊ [a,∞), x in some ...
In this paper we generalize Bownds' Theorems (1) to the systems dY(t)dt=A(t)Y(t) and dX(t)dt=A(t)X(t...
In this paper we extend the guiding function approach to show that there are periodic or bounded sol...
AbstractWe study the global existence, boundedness, and stability of solutions of a class of semilin...
summary:In this paper, there are derived sufficient conditions for exponential and asymptotic stabil...
AbstractWe give necessary and sufficient conditions for the solutions of the differential equation (...
We consider an initial value problem (I. V. P.) of a first order nonlinear ordinary differential equ...
We consider an initial value problem (I. V. P.) of a first order nonlinear ordinary differential equ...
This paper studies the stability of solutions of some third order nonautonomous differential equatio...
Abstract. It is proved a necessary and sufficient condition for the existence of Ψ-bounded solutions...
AbstractIn this paper asymptotic behavior of solutions of the integrodifferential system x′(t) = A(t...
In the present paper, the initial value problem for the first order ordinary differential equation w...
summary:In this paper new generalized notions are defined: ${\bold\Psi}$-boundedness and ${\bold\Psi...