Qualitative properties of certain non-linear differential systems of second order
نویسندگان
چکیده
منابع مشابه
A Note on Certain Qualitative Properties of a Second Order Linear Differential System
In this note, two theorems are presented concerning the well known second order linear differential system Ẍ +a(t)X =P(t). While the results are not new, the proofs presented simplify previous works since the Gronwall inequality is avoided which is the usual case. The technique of proof involves the integral test and examples are included to illustrate the results.
متن کاملCertain Second Order Linear Differential Subordinations
In this present investigation, we obtain some results for certain second order linear differential subordination. We also discuss some applications of our results.
متن کاملOn the stability of linear differential equations of second order
The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$ $fin C[a,b]$ and $-infty
متن کاملNON-STANDARD FINITE DIFFERENCE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
In this article we have considered a non-standard finite difference method for the solution of second order Fredholm integro differential equation type initial value problems. The non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the Fredholm integro-differential equation into a system of equations. We have also developed a numerical met...
متن کاملQualitative Theory of Half-linear Second Order Differential Equations
Some recent results concerning properties of solutions of the half-linear second order differential equation (∗) (r(t)Φ(x′))′ + c(t)Φ(x) = 0, Φ(x) := |x|p−2x, p > 1, are presented. A particular attention is paid to the oscillation theory of (∗). Related problems are also discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Taibah University for Science
سال: 2017
ISSN: 1658-3655
DOI: 10.1016/j.jtusci.2016.05.002