We show the existence and uniqueness of classical solutions of the nonautonomous second-order equation: u″(t)=A(t)u′(t)+B(t)u(t)+f(t), 0≤t≤T; u(0)=x0, u′(0)=x1 on a Banach space by means of operator matrix method and apply to Volterra integrodifferential equations
AbstractIn this paper an initial value problem for a nonlinear ordinary differential equation of sec...
AbstractWe define weak solutions for a class of Volterra integrodifferential equations of the form u...
AbstractExistence, uniqueness, and three sufficient stability criteria will be established for a cla...
In this paper, we study the existence and uniqueness of mild solutions for second order initial valu...
AbstractSome precise descriptions of the structure and behavior of bounded solutions for a class of ...
Abstract This paper deals with the study of global existence of solutions to initial value problem f...
AbstractIn this paper, we prove a theorem on boundary perturbation of nonautonomous Cauchy problems ...
This work is concerned with implicit second order abstract differential equations with nonlocal cond...
AbstractExistence and boundedness theorems are given for solutions of nonlinear integrodifferential ...
This work is concerned with implicit second order abstract differential equations with nonlocal cond...
In this paper, we consider a non-instantaneous impulsive system represented by second order nonlinea...
AbstractThis paper discusses the initial value problem for second-order nonlinear impulsive integro-...
AbstractThe conclusions of Da Prato and Sinestrari concerning the non-autonomous evolution operator ...
The theory of second-order differential equations in Banach space is surveyed. An introduction of ce...
Abstract. In this paper, we investigate the existence of solutions for nonlinear mixed Volterra-Fred...
AbstractIn this paper an initial value problem for a nonlinear ordinary differential equation of sec...
AbstractWe define weak solutions for a class of Volterra integrodifferential equations of the form u...
AbstractExistence, uniqueness, and three sufficient stability criteria will be established for a cla...
In this paper, we study the existence and uniqueness of mild solutions for second order initial valu...
AbstractSome precise descriptions of the structure and behavior of bounded solutions for a class of ...
Abstract This paper deals with the study of global existence of solutions to initial value problem f...
AbstractIn this paper, we prove a theorem on boundary perturbation of nonautonomous Cauchy problems ...
This work is concerned with implicit second order abstract differential equations with nonlocal cond...
AbstractExistence and boundedness theorems are given for solutions of nonlinear integrodifferential ...
This work is concerned with implicit second order abstract differential equations with nonlocal cond...
In this paper, we consider a non-instantaneous impulsive system represented by second order nonlinea...
AbstractThis paper discusses the initial value problem for second-order nonlinear impulsive integro-...
AbstractThe conclusions of Da Prato and Sinestrari concerning the non-autonomous evolution operator ...
The theory of second-order differential equations in Banach space is surveyed. An introduction of ce...
Abstract. In this paper, we investigate the existence of solutions for nonlinear mixed Volterra-Fred...
AbstractIn this paper an initial value problem for a nonlinear ordinary differential equation of sec...
AbstractWe define weak solutions for a class of Volterra integrodifferential equations of the form u...
AbstractExistence, uniqueness, and three sufficient stability criteria will be established for a cla...
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