Oscillation criteria for second-order matrix dynamic equations on a time scale
From MaRDI portal
Publication:1602837
DOI10.1016/S0377-0427(01)00444-7zbMath1017.34030OpenAlexW2091042190MaRDI QIDQ1602837
Lynn H. Erbe, Allan C. Peterson
Publication date: 24 June 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00444-7
Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Additive difference equations (39A10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Related Items (36)
Existence of nonoscillatory solutions to neutral dynamic equations on time scales ⋮ Invariant intervals and global behavior of a higher order difference equation ⋮ Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain ⋮ Oscillation of second-order damped dynamic equations on time scales ⋮ Oscillation of nonlinear dynamic equations on time scales. ⋮ Multiple periodic solutions of delayed predator-prey systems with type IV functional responses on time scales ⋮ Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints. ⋮ Classification and existence of nonoscillatory solutions of the second-order neutral delay dynamic equations on time scales ⋮ Oscillation criteria for a forced second-order nonlinear dynamic equation ⋮ Multiple periodic solutions of a delayed predator-prey system on time scales with multiple exploited (or harvesting) terms ⋮ Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type ⋮ Some nonlinear dynamic inequalities on time scales ⋮ Hille-Kneser-type criteria for second-order dynamic equations on time scales ⋮ Periodicity in a nonlinear predator-prey system on time scales with state-dependent delays ⋮ Boundedness of solutions of second-order forced nonlinear dynamic equations ⋮ Philos-type oscillation criteria for second order half-linear dynamic equations on time scales ⋮ Oscillation of second-order nonlinear delay dynamic equations on time scales ⋮ Oscillation criteria for perturbed nonlinear dynamic equations ⋮ Oscillation results for second-order nonlinear neutral delay dynamic equations on time scales ⋮ Oscillation criteria for second-order nonlinear neutral delay dynamic equations ⋮ Oscillation of second order nonlinear dynamic equations on time scales ⋮ Atkinson's super-linear oscillation theorem for matrix dynamic equations on a time scale ⋮ Oscillation for nonlinear second order dynamic equations on a time scale ⋮ Frequency measures on time scales with applications ⋮ Some new dynamic inequalities on time scales ⋮ Global behavior of a higher-order difference equation ⋮ Oscillation criteria of second-order half-linear dynamic equations on time scales ⋮ Oscillation and nonoscillation criteria for linear dynamic systems on time scales ⋮ Boundedness and oscillation for nonlinear dynamic equations on a time scale ⋮ Weak maximum principle and accessory problem for control problems on time scales ⋮ Four periodic solutions of a generalized delayed predator-prey system on time scales ⋮ The solutions of second-order linear matrix equations on time scales ⋮ Averaging techniques for self-adjoint matrix equations on a measure chain ⋮ Oscillation of second-order nonlinear neutral delay dynamic equations on time scales ⋮ New Kamenev-type oscillation criteria for second-order differential equations on a measure chain ⋮ Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Weighted means and oscillation conditions for second order matrix differential equations
- Oscillation of second order linear matrix difference equations
- On \(q\)- difference functional equations
- Basic calculus on time scales and some of its applications
- Sturm-Liouville eigenvalue problems on time scales
- Sturmian theory on measure chains
- Analytic theory of linear \(q\)-difference equations
- Asymptotic behavior of dynamic equations ontime scales
- Riccati Techniques and Variational Principles in Oscillation Theory for Linear Systems
- Oscillation and Nonoscillation for Systems of Self-Adjoint Second-Order Difference Equations
- Sur la sommabilité des séries entières solutions formelles d’une équation aux q-différences, I
- Quadratic functionals for second order matrix equations on time scales
This page was built for publication: Oscillation criteria for second-order matrix dynamic equations on a time scale
