We consider a boundary-value problem for the third-order partial differential equation $$\displaylines{ \frac{d^3u(t)}{dt^3}+Au(t)=f(t),\quad 0<t<1, \cr u(0)=\varphi,\quad u(1)=\psi,\quad u'(1)=\xi }$$ in a Hilbert space H with a self-adjoint positive definite operator A. Using the operator approach, we establish stability estimates for the solution of the boundary value problem. We study three types of boundary value problems and obtain stability estimates for the solution of these problems
We obtain upper and lower estimates for positive solutions of a third-order three-point boundary-val...
AbstractThe aim of this paper is to investigate the Hyers–Ulam stability of the linear differential ...
Abstract. In this paper, we show the asymptotic stabilty of the trivial solution x = 0 for p ≡ 0 and...
In this study, the nonlocal boundary value problem for the third order partial differential equation...
The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert spa...
In the present paper, the initial value problem for the third order partial differential equations w...
. Two sorts of nonlinear third order boundary-value problems are solved and the existence of eigenva...
This paper studies the stability of solutions of some third order nonautonomous differential equatio...
We prove the existence and uniqueness of a strong solution for a linear third-order equation with in...
We obtained decay and growth estimates for solutions of second-order and third-order differential-op...
In this chapter we introduce definitions, theorems, and provide historical background pertinent to a...
Abstract. Third-point boundary value problems for third-order differential equation [q(t)φ(x ′′(t))]...
In this paper, we consider the nonlinear third order ordinary differential equa-tion u′′′(t) = λa(t...
summary:Two sorts of nonlinear third order boundary-value problems are solved and the existence of e...
We prove the existence and uniqueness of a strong solution for a linear third-order equation with in...
We obtain upper and lower estimates for positive solutions of a third-order three-point boundary-val...
AbstractThe aim of this paper is to investigate the Hyers–Ulam stability of the linear differential ...
Abstract. In this paper, we show the asymptotic stabilty of the trivial solution x = 0 for p ≡ 0 and...
In this study, the nonlocal boundary value problem for the third order partial differential equation...
The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert spa...
In the present paper, the initial value problem for the third order partial differential equations w...
. Two sorts of nonlinear third order boundary-value problems are solved and the existence of eigenva...
This paper studies the stability of solutions of some third order nonautonomous differential equatio...
We prove the existence and uniqueness of a strong solution for a linear third-order equation with in...
We obtained decay and growth estimates for solutions of second-order and third-order differential-op...
In this chapter we introduce definitions, theorems, and provide historical background pertinent to a...
Abstract. Third-point boundary value problems for third-order differential equation [q(t)φ(x ′′(t))]...
In this paper, we consider the nonlinear third order ordinary differential equa-tion u′′′(t) = λa(t...
summary:Two sorts of nonlinear third order boundary-value problems are solved and the existence of e...
We prove the existence and uniqueness of a strong solution for a linear third-order equation with in...
We obtain upper and lower estimates for positive solutions of a third-order three-point boundary-val...
AbstractThe aim of this paper is to investigate the Hyers–Ulam stability of the linear differential ...
Abstract. In this paper, we show the asymptotic stabilty of the trivial solution x = 0 for p ≡ 0 and...