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On the hyers-ulam stability of certain partial differential equations of second order
(2017)
In this paper, we obtain two new results on the Hyers-Ulam stability of the linear partial differential equation of second order with constant coefficients Azxx + (A + B)zxy + Bzyy + Azx + Bzy = 0 and the partial Euler ...
On the asymptotic stability behaviours of solutions of non-linear differential equations with multiple variable advanced arguments
(2019)
We pay our attention to a non-linear differential equation of first order with multiple two variable advanced arguments. We find sufficient conditions satisfying the convergence (C) and exponential convergence (EC) of ...
On the Hyers-Ulam stability of laguerre and bessel equations by laplace transform method
(2017)
The purpose of this paper is to obtain new suffcient conditions guaran-teeing the Hyers-Ulam stability of Laguerre differential equation xy′+ (1 - x)y′ + ny = 0 and Bessel differential equation of order zero xy′ + y′ + xy ...
On the existence of periodic solutions to non-linear neutral differential equations of first order with multiple delays
(2015)
In this paper, on the basis of Krasnoselskii’s fixed point theorem, sufficient conditions are derived for the existence of periodic solutions to certain nonlinear neutral differential equations of first order with multiple ...
New theorems for Hyers-Ulam stability of lienard equation with variable time lags
(2018)
We investigate a modified Lienard equation (LE) with multiple variable time lags and find assumptions for the Hyers-Ulam stability (HUS) and Hyers-Ulam -Rassias stability (HURS) of the modified (LE) considered. We obtain ...