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Oscillation Criteria of Comparison Type for Second Order Difference Equations
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S. R. Grace
Veröffentlicht/Copyright:
4. Juni 2010
Abstract
In this paper we investigate the oscillatory character of the second order nonlinear difference equations of the forms
Δ(cn–1Δ(xn–1 + pnxσn)) + qnƒ(xτn) = 0, n = 1, 2, . . .
and the corresponding nonhomogeneous equation
Δ(cn–1Δ(xn–1 + pnxσn)) + qnƒ(xτn) = rn, n = 1, 2, . . .
via comparison with certain second order linear difference equations where the function ƒ is not necessarily monotonic. The results of this paper are essentially new and can be extended to more general equations.
Received: 1998-03-23
Published Online: 2010-06-04
Published in Print: 2000-June
© Heldermann Verlag
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Artikel in diesem Heft
- Feynman's Path Integrals and Henstock's Non-Absolute Integration
- Universally Polygonally Approximable Functions
- Differential Calculus for Complex-Valued Multifunctions
- On Analogues of Some Classical Subsets of the Real Line
- Oscillation Criteria of Comparison Type for Second Order Difference Equations
- On the Convergence of the Method of Lines for Quasi–Nonlinear Functional Evolutions in Banach Spaces
- Bounded Solutions for Nonlinear Elliptic Equations in Unbounded Domains
- A Characterization of Strict Local Minimizers of Order One for Static Minmax Problems in the Parametric Constraint Case
- On Linear Dependence of Iterates
Artikel in diesem Heft
- Feynman's Path Integrals and Henstock's Non-Absolute Integration
- Universally Polygonally Approximable Functions
- Differential Calculus for Complex-Valued Multifunctions
- On Analogues of Some Classical Subsets of the Real Line
- Oscillation Criteria of Comparison Type for Second Order Difference Equations
- On the Convergence of the Method of Lines for Quasi–Nonlinear Functional Evolutions in Banach Spaces
- Bounded Solutions for Nonlinear Elliptic Equations in Unbounded Domains
- A Characterization of Strict Local Minimizers of Order One for Static Minmax Problems in the Parametric Constraint Case
- On Linear Dependence of Iterates
