Quadratic functionals for second order matrix equations on time scales
From MaRDI portal
Publication:4259716
DOI10.1016/S0362-546X(97)00675-5zbMath0938.49001OpenAlexW2054655017MaRDI QIDQ4259716
Martin J. Bohner, Ravi P. Agarwal
Publication date: 15 June 2000
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00675-5
Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Additive difference equations (39A10) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items
Existence results for second order boundary value problem of impulsive dynamic equations on time scales ⋮ Positive Solutions of Nonlinearm-point Boundary Value Problems on a Measure Chain ⋮ On First Order Impulsive Dynamic Equations on Time Scales ⋮ First order conditions for generalized variational problems over time scales ⋮ Sign properties of Green's functions for disconjugate dynamic equations on time scales. ⋮ Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints. ⋮ Multiple positive solutions for nonlinear dynamical systems on a measure chain. ⋮ On multiple convolutions and time scales ⋮ Multiple positive solutions for third-order \(p\)-Laplacian functional dynamic equations on time scales ⋮ Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain ⋮ Double integral calculus of variations on time scales ⋮ A class of the first order impulsive dynamic equations on time scales ⋮ Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales ⋮ How the constants in Hille-Nehari theorems depend on time scales ⋮ Inhomogeneous quadratic functionals on time scales ⋮ Existence of positive solutions to second-order time scale systems ⋮ Three positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales ⋮ Atkinson's super-linear oscillation theorem for matrix dynamic equations on a time scale ⋮ Multiple positive solutions for functional dynamic equations on time scales ⋮ Cauchy functions for dynamic equations on a measure chain ⋮ Dynamic Picone's identity and its applications ⋮ The solutions of second-order linear matrix equations on time scales ⋮ Existence of solutions for third-order boundary value problems on a time scale ⋮ Basic calculus on time scales and some of its applications ⋮ Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions ⋮ Picone type identities and definiteness of quadratic functionals on time scales ⋮ Sturm-Liouville eigenvalue problems on time scales ⋮ Eigenvalue conditions and positive solutions ⋮ Averaging techniques for self-adjoint matrix equations on a measure chain ⋮ Boundary value problems and related topics. Dedicated to Lloyd Jackson on the occasion of his 75th birthday ⋮ Linear Hamiltonian systems on time scales: Positivity of quadratic functionals ⋮ A third-order differential equation on a time scale ⋮ Positive solutions for a nonlinear differential equation on a measure chain ⋮ Dynamic equations on time scales: A survey ⋮ Partial differential equations on time scales ⋮ A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales ⋮ Oscillation criteria for second-order matrix dynamic equations on a time scale ⋮ A time scales version of a Wirtinger-type inequality and applications ⋮ Even order nonlinear eigenvalue problems on a measure chain ⋮ Discrete Optimal Control: Second Order Optimality Conditions
Cites Work
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Sturmian theory for ordinary differential equations
- Oscillation of second order linear matrix difference equations
- Inequalities and asymptotics for Riccati matrix difference operators
- Oscillation results for second order scalar and matrix difference equations
- Sturmian theory on measure chains
- Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
- Continued Fraction Representations of Maximal and Minimal Solutions of a Discrete Matrix Riccati Equation
- On disconjugacy for sturm-liouville difference equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Quadratic functionals for second order matrix equations on time scales
