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A Note on the Theorem on Differential Inequalities
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E. Bravyi
Published/Copyright:
February 23, 2010
Abstract
It is proved that if a linear operator l : C([a, b], R) → L ([a, b], R) is nonpositive and for the Cauchy problem u″(t) + l(u)(t) + q(t), u(a) = c the theorem on differential inequalities is valid, then l is a Volterra operator.
Key words and phrases:: Linear functional differential equation; theorem on differential inequalities; Volterra operator
Received: 2000-05-29
Published Online: 2010-02-23
Published in Print: 2000-December
© Heldermann Verlag
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Keywords for this article
Linear functional differential equation;
theorem on differential inequalities;
Volterra operator
Articles in the same Issue
- The Morse Formula for Curves Which are not Locally Simple
- Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
- A Note on the Theorem on Differential Inequalities
- Singular Integral Equations in Special Weighted Spaces
- On Multidimensional SDEs Without Drift and with A Time-Dependent Diffusion Matrix
- Uniform Convergence of N-Dimensional Trigonometric Fourier Series
- Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions
- On Generalized Sklyanin Algebras
- Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces
- On the Teichmüller-Kühnau Extension of Univalent Functions
- Embeddings and Entropy Numbers for General Weighted Sequence Spaces: The Non-Limiting Case
- Oscillation Properties of Even Order Neutral Differential Equations with Deviating Arguments
- On Bausov-Telyakovskii Type Results
- A Semimartingale Bellman Equation and the Variance-Optimal Martingale Measure
- The Construction of the Bases of Some Eight Level Cusp Form Spaces
