Riccati type transformations for second-order linear difference equation. II
From MaRDI portal
Publication:1065295
DOI10.1016/0022-247X(85)90363-4zbMath0576.39002OpenAlexW4213259099MaRDI QIDQ1065295
John W. Hooker, William T. Patula, Man Kam Kwong
Publication date: 1985
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(85)90363-4
non-oscillationRiccati type non-linear equationssecond order linear homogeneous difference equations
Related Items (25)
A note on orthogonal polynomials and oscillation criteria for second order linear difference equations ⋮ A discrete interpretation of Reid's roundabout theorem for generalized differential systems ⋮ Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case ⋮ Nonoscillation and oscillation of solutions of a class of third order difference equations ⋮ Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey ⋮ Nonoscillation of second-order linear difference systems with varying coefficients ⋮ Oscillation and nonoscillation theorems for certain second-order difference equations with forcing term ⋮ Critical oscillation constant for difference equations with almost periodic coefficients ⋮ Necessary conditions for the existence of positive solutions of second-order linear difference equations and sufficient conditions for the oscillation of solutions ⋮ Oscillation of linear and half-linear difference equations via modified Riccati transformation ⋮ Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation ⋮ Riccati transformation and nonoscillation criterion for linear difference equations ⋮ Bounded and zero convergent solutions of second-order difference equations ⋮ Focal boundary value problems for nonlinear difference equations. I ⋮ Focal boundary value problems for nonlinear difference equations. II ⋮ Asymptotic and oscillatory behavior of solutions of certain second-order nonlinear difference equations ⋮ Oscillation of second order nonlinear difference equations ⋮ Oscillatory and asymptotic behaviour of fourth order nonlinear difference equations ⋮ Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation. II ⋮ New criteria for the oscillation and existence of monotone solutions of second-order nonlinear difference equations ⋮ Oscillation of second-order linear difference equations ⋮ Riccati techniques and discrete oscillations ⋮ Riccati technique and oscillation of linear second-order difference equations ⋮ Oscillation Criteria of Comparison Type for Second Order Difference Equations ⋮ Oscillation of linear difference equations with deviating arguments
Cites Work
- Unnamed Item
- Unnamed Item
- A Hille-Wintner type comparison theorem for second order difference equations
- Volterra-Stieltjes integral equations and generalized ordinary differential expressions
- Riccati type transformations for second-order linear difference equations
- Oscillation theory for generalized second-order differential equations
- Spectral analysis of second order difference equations
- Discrete and continuous boundary problems
- Growth, Oscillation and Comparison Theorems for Second Order Linear Difference Equations
- Growth and Oscillation Properties of Second Order Linear Difference Equations
- Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
This page was built for publication: Riccati type transformations for second-order linear difference equation. II
