A note on Kamenev type theorems for second order matrix differential systems

DOI10.1090/S0002-9939-98-04248-8zbMath0891.34037OpenAlexW1487459998MaRDI QIDQ4383007

Zhaowen Zheng, Jizhong Wang, Fan Wei Meng

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04248-8

zbMATH Keywords

Riccati equationmatrix differential systemoscillatory theory

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (36)

Oscillation of linear Hamiltonian systems ⋮ Oscillation theorems for self-adjoint matrix Hamiltonian systems ⋮ Oscillation criteria related to integral averaging technique for linear matrix Hamiltonian systems ⋮ New Kamenev type oscillation criteria for linear matrix Hamiltonian systems ⋮ New oscillation criteria for second-order nonlinear matrix differential equations ⋮ Non-integral criterion for oscillations of linear Hamiltonian matrix systems ⋮ Oscillation theorems for self-adjoint matrix Hamiltonian systems involving general means ⋮ Linear transformation and oscillation criteria for Hamiltonian systems ⋮ Oscillation results for linear second order matrix differential systems with damping ⋮ Sufficient conditions for oscillation of linear second order matrix differential systems. ⋮ Oscillation of linear Hamiltonian systems. ⋮ Oscillation criteria for second-order matrix differential equations. ⋮ Oscillation theorems for certain second order self-adjoint matrix differential systems. ⋮ Kamenev-type oscillation criteria for second-order matrix differential systems ⋮ New oscillation criteria for second order linear matrix differential equations with damping ⋮ Interval oscillation criteria for matrix differential systems with damping ⋮ Oscillation results for linear matrix Hamiltonian systems ⋮ Oscillation criteria based on a new weighted function for linear matrix Hamiltonian systems ⋮ New Kamenev type theorems for second-order linear matrix differential systems. ⋮ Interval criteria for oscillation of linear Hamiltonian systems ⋮ Nonlinear functionals and a theorem of Sun ⋮ Riccati techniques and oscillation for self-adjoint matrix Hamiltonian systems ⋮ Oscillation criteria for certain second-order matrix differential equations. ⋮ New oscillation criteria for linear matrix Hamiltonian systems ⋮ Some new oscillation results for linear Hamiltonian systems ⋮ New Kamenev-type theorems for super-linear matrix differential equations ⋮ On oscillation properties for linear Hamiltonian systems ⋮ Oscillation results for matrix differential systems with damping ⋮ Oscillation results for matrix differential systems with damping ⋮ Oscillation criteria for second order linear matrix differential systems with damping ⋮ Unnamed Item ⋮ Oscillation criteria for linear matrix Hamiltonian systems ⋮ New oscillation criteria for linear matrix Hamiltonian systems ⋮ Oscillation theorems of the second-order linear matrix differential system with damping ⋮ Oscillation results for linear Hamiltonian systems. ⋮ Interval criteria for oscillation of certain matrix differential systems

Cites Work

• Weighted means and oscillation conditions for second order matrix differential equations
• Riccati Techniques and Variational Principles in Oscillation Theory for Linear Systems
• Kamenev Type Theorems for Second Order Matrix Differential Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item

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