Oscillation results for n-th order linear differential equations with meromorphic periodic coefficients

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Complex Oscillation of Higher Order Linear Differential Equations with Meromorphic Coefficients

In this paper, we investigate the growth of solutions and the existence of subnormal solutions for a class of higher order linear differential equations. We obtain some results which improve and extend the results of Chen-Shon [2] and Gundersen-Steinbart [5].

متن کامل

Conditional Oscillation of Half-linear Differential Equations with Periodic Coefficients

We show that the half-linear differential equation (∗) [ r(t)Φ(x′) ]′ + s(t) tp Φ(x) = 0 with α-periodic positive functions r, s is conditionally oscillatory, i.e., there exists a constant K > 0 such that (∗) with γs(t) tp instead of s(t) tp is oscillatory for γ > K and nonoscillatory for γ < K.

متن کامل

Oscillation of Higher-order Linear Differential Equations with Entire Coefficients

This article is devoted to studying the solutions to the differential equation f (k) +Ak−1(z)f (k−1) + · · ·+A0(z)f = 0, k ≥ 2, where coefficients Aj(z) are entire functions of integer order. We obtain estimates on the orders and the hyper orders of the solutions to the above equation.

متن کامل

Approximately $n$-order linear differential equations

We prove the generalized Hyers--Ulam stability  of $n$-th order linear differential equation of the form $$y^{(n)}+p_{1}(x)y^{(n-1)}+ cdots+p_{n-1}(x)y^{prime}+p_{n}(x)y=f(x),$$ with condition that there exists a non--zero solution of corresponding homogeneous equation. Our main results extend and improve the corresponding results obtained by many authors.

متن کامل

THIRD ORDER LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS i

The third order linear differential equation Ly = y'" + p2(t)y" + P\{i)y' + Po(')y = 0 is studied, where />,(/) are continuous real-valued and periodic of period 0. Various criteria are obtained which guarantee "partial" asymptotic stability or instability by means of effective bounds on the Floquet characteristic multipliers of Ly = 0.

متن کامل

ذخیره 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: Nagoya Mathematical Journal

سال: 2002

ISSN: 0027-7630,2152-6842

DOI: 10.1017/s0027763000008254