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On Higher Order Functional Differential Equations with Property A
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R. Koplatadze
Veröffentlicht/Copyright:
4. März 2010
Abstract
We study oscillatory properties of solutions of a functional differential equation of the form
𝑢(𝑛)(𝑡) + 𝐹(𝑢)(𝑡) = 0,
where 𝑛 ≥ 2 and 𝐹 : 𝐶(𝑅+; 𝑅) → 𝐿loc(𝑅+; 𝑅) is a continuous mapping. Sufficient conditions for this equation to have the so-called Property A are established. In the case of ordinary differential equation the obtained results lead to an integral generalization of the well-known theorem by Kondrat'ev.
Key words and phrases:: Functional differential equations; oscillatory solution; Property A; proper solution
Received: 2003-09-22
Published Online: 2010-03-04
Published in Print: 2004-June
© Heldermann Verlag
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- Additive Surjections Preserving Rank One and Applications
- Some Families of Generating Functions for the Bessel and Related Functions
- On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory
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- On Higher Order Functional Differential Equations with Property A
- On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay
- Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions
- A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator
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- Oscillation Results for Second Order Self-Adjoint Matrix Differential Systems
Schlagwörter für diesen Artikel
Functional differential equations;
oscillatory solution;
Property A;
proper solution
Artikel in diesem Heft
- Maximal Subgroups of Some Classes of Semigroups of Binary Relations
- Additive Surjections Preserving Rank One and Applications
- Some Families of Generating Functions for the Bessel and Related Functions
- On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory
- The Existence of Solutions for a Semilinear Abstract Dirichlet Problem
- Noncommutative Symplectic Foliation, Bott Connection and Phase Space Reduction
- Karoubi–Villamayor K-Theory, Weakly Stable C*-Categoroids, and KK-Theory
- On Absolutely Nonmeasurable Additive Functions
- On Higher Order Functional Differential Equations with Property A
- On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay
- Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions
- A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator
- On an Initial-Boundary Value Problem for a Fourth Order Composite Equation with Bilaplacian
- An Application of Independent Families of Sets to the Measure Extension Problem
- Oscillation Results for Second Order Self-Adjoint Matrix Differential Systems
