On Stability Criterion of 4-th Order Quasilinear Differential Equations with Quasiderivatives
نویسندگان
چکیده
منابع مشابه
On 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 کاملOSCILLATORY CRITERIA FOR NONLINEAR nTH-ORDER DIFFERENTIAL EQUATIONS WITH QUASIDERIVATIVES
Sufficient conditions are given for the existence of oscillatory proper solutions of a differential equation with quasiderivatives Lny = f(t, L0y, . . . , Ln−1y) under the validity of the sign condition f(t, x1, . . . , xn)x1 ≤ 0, f(t, 0, x2, . . . , xn) = 0 on R+ × Rn.
متن کاملStudy on stability analysis of distributed order fractional differential equations with a new approach
The study of the stability of differential equations without its explicit solution is of particular importance. There are different definitions concerning the stability of the differential equations system, here we will use the definition of the concept of Lyapunov. In this paper, first we investigate stability analysis of distributed order fractional differential equations by using the asympto...
متن کاملOn Existence of Oscillatory Solutions of nth Order Differential Equations with Quasiderivatives
Sufficient conditions are given under which the nonlinear n-th order differential equation with quasiderivatives has oscillatory solutions. AMS Subject Classification. 34C10
متن کاملA New Oscillation Criterion for Forced Second-Order Quasilinear Differential Equations
where p, q, e ∈ C t0,∞ , with p t > 0 and 0 < α ≤ β being constants. By a solution of 1.1 , wemean a function y t ∈ C1 Ty,∞ , , where Ty ≥ t0 depends on the particular solution, which has the property p t |y′ t |α−1y′ t ∈ C1 Ty,∞ and satisfies 1.1 . We restrict our attention to the nontrivial solutions y t of 1.1 only, that is, to solutions y t such that sup{|y t | : t ≥ T} > 0 for all T ≥ Ty ....
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: Research Papers Faculty of Materials Science and Technology Slovak University of Technology
سال: 2016
ISSN: 1338-0532
DOI: 10.1515/rput-2016-0018