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Properties 𝐴 and 𝐵 of 𝑛th Order Linear Differential Equations with Deviating Argument
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R. Koplatadze
Veröffentlicht/Copyright:
24. Februar 2010
Abstract
Sufficient conditions for the nth order linear differential equation
𝑢(𝑛) (𝑡) + 𝑝(𝑡)𝑢(τ(𝑡)) = 0, 𝑛 ≥ 2,
to have Property 𝐴 or Property 𝐵 are established in both the delayed and the advanced cases. These conditions essentially improve many known results not only for differential equations with deviating arguments but for ordinary differential equations as well.
Received: 1999-01-10
Published Online: 2010-02-24
Published in Print: 1999-December
© 1999 Plenum Publishing Corporation
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Artikel in diesem Heft
- Limit Distribution of the Mean Square Deviation of the Gasser–Müller Nonparametric Estimate of the Regression Function
- The Three-Dimensional Problem of Statics of the Elastic Mixture Theory with Displacements Given on the Boundary
- On the Prandtl Equation
- On the Dirichlet Problem in a Characteristic Rectangle for Fourth Order Linear Singular Hyperbolic Equations
- Properties 𝐴 and 𝐵 of 𝑛th Order Linear Differential Equations with Deviating Argument
- Multiple Solutions of Generalized Multipoint Conjugate Boundary Value Problems
- Absolute Summability Factors and Absolute Tauberian Theorems for Double Series and Sequences
Artikel in diesem Heft
- Limit Distribution of the Mean Square Deviation of the Gasser–Müller Nonparametric Estimate of the Regression Function
- The Three-Dimensional Problem of Statics of the Elastic Mixture Theory with Displacements Given on the Boundary
- On the Prandtl Equation
- On the Dirichlet Problem in a Characteristic Rectangle for Fourth Order Linear Singular Hyperbolic Equations
- Properties 𝐴 and 𝐵 of 𝑛th Order Linear Differential Equations with Deviating Argument
- Multiple Solutions of Generalized Multipoint Conjugate Boundary Value Problems
- Absolute Summability Factors and Absolute Tauberian Theorems for Double Series and Sequences
