Asymptotic properties of third order delay differential equations
نویسندگان
چکیده
منابع مشابه
Asymptotic Properties of Third-Order Delay Trinomial Differential Equations
and Applied Analysis 3 2. Main Results It will be derived that properties of E are closely connected with the corresponding secondorder differential equation ( 1 r t v′ t )′ p t v t 0 Ev as the following theorem says. Theorem 2.1. Let v t be a positive solution of Ev . Then E can be written as ( v2 t r t ( 1 v t y′ t )′)′ q t v t y σ t 0. E Proof. The proof follows from the fact that 1 v t ( v2...
متن کاملAsymptotic properties of fractional delay differential equations
In this paper we study the asymptotic properties of d-dimensional linear fractional differential equations with time delay. First results on existence and uniqueness of solutions are presented. Then we propose necessary and sufficient conditions for asymptotic stability of equations of this type using the inverse Laplace transform method.
متن کاملOscillation of third order trinomial delay differential equations
The purpose of this paper is to study oscillation and asymptotic behavior of solutions to a third order linear delay differential equation . All righ in part t Umeå Baculíko y000ðtÞ þ pðtÞy0ðtÞ þ qðtÞyðsðtÞÞ 1⁄4 0: New comparison theorems deduce oscillation of the given third order delay differential equation via application of known oscillation criteria to associated first order delay differen...
متن کاملOscillation of third-order nonlinear damped delay differential equations
This paper is concerned with the oscillation of certain third-order nonlinear delay differential equations with damping. We give new characterizations of oscillation of the third-order equation in terms of oscillation of a related, well-studied, second-order linear differential equation without damping. We also establish new oscillation results for the third-order equation by using the integral...
متن کاملOscillation of Third-Order Neutral Delay Differential Equations
and Applied Analysis 3 Theorem 2.1. Assume that 1.4 holds, 0 ≤ p t ≤ p1 < 1. If for some function ρ ∈ C1 t0,∞ , 0,∞ , for all sufficiently large t1 ≥ t0 and for t3 > t2 > t1, one has lim sup t→∞ ∫ t t3 ⎛ ⎜⎝ρ s q s (1 − p τ s ) ∫τ s t2 (∫v t1 1/a u du/b v ) dv ∫s t1 1/a u du − a s ( ρ′ s )2 4ρ s ⎞ ⎟⎠ds ∞, 2.1 ∫∞
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: Czechoslovak Mathematical Journal
سال: 1995
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1995.128546