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Oscillation and Nonoscillation Criteria for a Second Order Linear Equation
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Published/Copyright:
February 24, 2010
Abstract
New oscillation and nonoscillation criteria are established for the equation
π’β³ + π(π‘)π’ = 0,
where π : ]1, + β[ β π is the locally integrable function. These criteria generalize and complement the well known criteria of E. Hille, Z. Nehari, A. Wintner, and P. Hartman.
Received: 1998-06-01
Published Online: 2010-02-24
Published in Print: 1999-October
Β© 1999 Plenum Publishing Corporation
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Articles in the same Issue
- Oscillation and Nonoscillation Criteria for a Second Order Linear Equation
- Triple Positive Solutions for Multipoint Conjugate Boundary Value Problems
- A Problem with Nonlocal Boundary Conditions for a Quasilinear Parabolic Equation
- On Bounded Solutions of Systems of Linear Functional Differential Equations
- Subsets of the Plane with Small Linear Sections and Invariant Extensions of the Two-Dimensional Lebesgue Measure
- On the Correctness of the Dirichlet Problem in a Characteristic Rectangle for Fourth Order Linear Hyperbolic Equations
- On Some Entire Modular Forms of an Integral Weight for the Congruence Subgroup Ξ0(4π)
- A Contact Problem of the Interaction of a Semi-Finite Inclusion with a Plate
Keywords for this article
Second order linear equation;
oscillatory equation;
nonoscillatory equation
Articles in the same Issue
- Oscillation and Nonoscillation Criteria for a Second Order Linear Equation
- Triple Positive Solutions for Multipoint Conjugate Boundary Value Problems
- A Problem with Nonlocal Boundary Conditions for a Quasilinear Parabolic Equation
- On Bounded Solutions of Systems of Linear Functional Differential Equations
- Subsets of the Plane with Small Linear Sections and Invariant Extensions of the Two-Dimensional Lebesgue Measure
- On the Correctness of the Dirichlet Problem in a Characteristic Rectangle for Fourth Order Linear Hyperbolic Equations
- On Some Entire Modular Forms of an Integral Weight for the Congruence Subgroup Ξ0(4π)
- A Contact Problem of the Interaction of a Semi-Finite Inclusion with a Plate
