Oscillation criteria for forced second-order nonlinear differential equations with damping

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

New Interval Oscillation Criteria for Forced Second-Order Differential Equations with Nonlinear Damping

We introduce and prove some new interval oscillation criteria for a general class of forced second-order differential equations (E) : ( r(t)k1(x, x′) )′ + p(t)k2(x, x′)x′ + q(t)f(x) = e(t), t ≥ t0, where the functions k1(u, v), k2(u, v) and f(u) satisfy some general conditions. Our interval oscillation criteria and their proofs are different than previously published ones, and it is based on (i...

متن کامل

Oscillation Theorems for Second Order Nonlinear Differential Equations with Damping

Some oscillation criteria for solutions of a general ordinary differential equation of second order of the form (r(t)ψ(x(t))ẋ(t))+h(t)ẋ(t)+q(t)φ(g(x(t)),r(t)ψ(x(t))ẋ(t)) = H(t,x(t), ẋ(t)) with alternating coefficients are discussed. Our results improve and extend some existing results in the literature. Some illustrative examples are given with its numerical solutions which are computed using R...

متن کامل

Interval Oscillation Criteria for Second-Order Nonlinear Forced Dynamic Equations with Damping on Time Scales

and Applied Analysis 3 provided this limit exists. A function f : T → R is said to be rd-continuous provided f is continuous at right-dense points and there exists a finite left limit at all left-dense points in T .The set of all such rd-continuous functions is denoted by Crd(T).The derivativef Δ off and the forward jump operator σ are related by the formula f σ (t) = f (σ (t)) = f (t) + μ (t) ...

متن کامل

Interval Oscillation Criteria for Second Order Mixed Nonlinear Forced Impulsive Differential Equation with Damping Term

In this paper, interval oscillation criteria are established for second order forced impulsive differential equations with mixed nonlinearities of the form ⎧⎪⎨ ⎪⎩ ( r(t)Φα(x′(t)) )′ + p(t)Φα(x′(t))+q(t)Φα(x(t))+ n ∑ i=1 qi(t)Φβi (x(t)) = e(t), t = τk, x(τk) = akx(τk), x′(τk+) = bkx′(τk), k = 1,2, . . . . The results obtained in this paper extend some of the existing results and are illustrated ...

متن کامل

Oscillation criteria for second-order nonlinear differential equations with nonlinear damping

Using generalized Riccati transformations, we derive new interval oscillation criteria for a class of general type second-order nonlinear differential equations with nonlinear damping. Examples are also given to illustrate the results. 2000 Mathematics Subject Classification: 34C10

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: Journal of Computational and Applied Mathematics

سال: 2009

ISSN: 0377-0427

DOI: 10.1016/j.cam.2008.05.002