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Oscillation Theorems for Certain Even Order Delay Differential Equations Involving General Means
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Zhiting Xu
Veröffentlicht/Copyright:
10. März 2010
Abstract
By using the general means, we establish some oscillation theorems for the even order delay differential equation
(𝑟(𝑡)|𝑥(𝑛–1)(𝑡)|α–1𝑥(𝑛–1)(𝑡))′ + 𝐹(𝑡, 𝑥[𝑔(𝑡)]) = 0,
where α > 0 is a constant, 
, and 𝑔 ∈ 𝐶([𝑡0, ∞), ℝ). The results obtained extend and improve some results known in the literature.
Received: 2005-06-11
Revised: 2005-07-26
Published Online: 2010-03-10
Published in Print: 2006-June
© Heldermann Verlag
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- An Automatically Stable and Order Three Split Rational Approximation of a Semigroup
- Selfadjoint Operators and Generalized Central Algorithms in Frechet Spaces
- Oscillation Theorems for Certain Even Order Delay Differential Equations Involving General Means
- Corrections to “On a Singular Direction of a Meromorphic Function”
Artikel in diesem Heft
- Semimartingale Local Time and the American Put Option
- Existence Theory for Perturbed Nonlinear Boundary Value Problems with Integral Boundary Conditions
- A Generalization of Bihari's Lemma for Discontinuous Functions and Its Application to the Stability Problem of Differential Equations with Impulse Disturbance
- Existence Results for First and Second Order Nonconvex Sweeping Processes with Perturbations and with Delay: Fixed Point Approach
- The Potential Method for the Reactance Wave Diffraction Problem in a Scale of Spaces
- On the Continuity of the Nemytskij Operator between the Spaces 𝐿𝑝1(𝑋) and 𝐿𝑝2(𝑋)
- Monadic 𝐵𝐿-Algebras
- Rate of Approximation for Certain Durrmeyer Operators
- On Decompositions of a Cube into Cubes and Simplexes
- A Positive Answer to Velichko's Question
- An Inverse Result in Simultaneous Approximation by Modified Beta Operators
- Weyl's Theorem for Algebraically (𝑝, 𝑘)-Quasihyponormal Operators
- Modulus of Continuity and Best Approximation with Respect to Vilenkin-Like Systems in Some Function Spaces
- Exact Distributions of the Product and Ratio of Absolute Values of Pearson Type VII and Bessel Function Random Variables
- An Automatically Stable and Order Three Split Rational Approximation of a Semigroup
- Selfadjoint Operators and Generalized Central Algorithms in Frechet Spaces
- Oscillation Theorems for Certain Even Order Delay Differential Equations Involving General Means
- Corrections to “On a Singular Direction of a Meromorphic Function”
