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Oscillation and Nonoscillation Criteria for two-Dimensional Systems of Linear Ordinary Differential Equations
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L. Polák
Published/Copyright:
March 3, 2010
Abstract
Sufficient conditions are established for the oscillation and nonoscillation of the system
𝑢′ = 𝑞(𝑡)𝑣,
𝑣′ = –𝑝(𝑡)𝑢,
where 𝑝, 𝑞 : [0, +∞[→] – ∞, +∞[ are locally summable functions, 𝑞(𝑡) ≥ 0 for 𝑡 ≥ 0, and 
.
Key words and phrases:: Two-dimensional systems of linear ODE; oscillation and nonoscillation
Received: 2003-06-24
Published Online: 2010-03-03
Published in Print: 2004-March
© Heldermann Verlag
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Articles in the same Issue
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- Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods
- The Structure of 𝐺-Free Nilpotent Groups of Step 3
- Fuzzy Solutions for Neutral Functional Differential Equations with Nonlocal Conditions
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- Explicit Solutions of the Basic Boundary Value Problems of Statics of the Elastic Mixture Theory for an Annulus
- Particular Solutions for a Class of ODE Related to the L-Exponential Functions
- On Hyers–Ulam Stability of Cauchy and Wilson Equations
- Common Fixed Points Iteration Processes for a Finite Family of Asymptotically Nonexpansive Mappings
- Varieties of Universal Algebras with Normal Local Projections
- Integrability and L1-Convergence of Modified Sine Sums
- On Homogeneous Coverings of Euclidean Spaces
- On Entire Modular Forms of Half-Integral Weight on the Congruence Subgroup Γ0(4N)
- The Bellman Equation Related to the Minimal Entropy Martingale Measure
- Oscillation and Nonoscillation Criteria for two-Dimensional Systems of Linear Ordinary Differential Equations
- Formulas of Variation for a Solution of Neutral Differential Equations with Continuous Initial Condition
- Positive Solutions of a Neutral Difference Equation with Positive and Negative Coefficients
- Two Sharp Inequalities of Simpson Type and Applications
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