Comparison theorems for even order half-linear differential equations
نویسندگان
چکیده
منابع مشابه
Comparison Theorems for Half-linear Differential Equations of the Fourth Order
An identity of the Picone type for fourth-order half-linear ordinary differential operators of the form lα[x] ≡ (pφ(x′′))′′ − (rφ(x′))′ + qφ(x) and Lα[y] ≡ (Pφ(y′′))′′ − (Rφ(y′))′ +Qφ(y). where φ(u) := |u|α−1u, α > 0, u ∈ R, and p, q, r, P,Q and R are continuous functions on a given interval I is derived and then Sturmian comparison theory for the corresponding fourth-order equations lα[x] = 0 ...
متن کاملHartman-type Comparison Theorems for Half-linear Differential Equations of the Second Order
Comparison theorem of the Hartman type for a continuous family of non-linear differential equations of the form p(t, λ)ϕ(u ′) for s = 0 and ϕ(0) = 0, is proved with the help of the generalized Mingarelli's identity.
متن کاملOscillation Theorems for Certain Even Order Neutral Differential Equations
This paper is concerned with a class of even order nonlinear differential equations of the form d dt “ ̨
متن کاملOscillation criteria for even-order half-linear functional differential equations with damping
In this paper, a class of even-order half-linear functional differential equations with damping is studied. By using the generalized Riccati transformation and the integral averaging technique, six new oscillation criterias are obtained for all solutions of the equations. The results obtained generalize and improve some known results.
متن کاملNew comparison and oscillation theorems for second-order half-linear dynamic equations on time scales
∧ second-order half-linear dynamic equation (r(t)(x(t))) + p(t)x(σ (t)) = 0, where r(t) > 0, p(t) are continuous, ∫ ∞ t0 (r(t)) 1 α ∆t = ∞, α is a quotient of odd positive integers. In particular, no explicit sign assumptions aremadewith respect to the coefficient p(t). We give conditions under which every positive solution of the equations is strictly increasing. For α = 1, T = R, the result i...
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: Applied Mathematics Letters
سال: 2012
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.10.043