A non oscillation criterion for extended quasi linear Hamiltonian systems
G. A. Grigorian
TL;DR
This paper introduces a new non-oscillation criterion for extended quasi-linear Hamiltonian systems using a Riccati equation approach, providing a novel analytical tool for stability analysis.
Contribution
It presents a new Riccati equation-based method to establish non-oscillation criteria for extended quasi-linear Hamiltonian systems, advancing theoretical understanding.
Findings
Derived a new non-oscillation criterion
Applied Riccati equation method successfully
Enhanced analytical tools for Hamiltonian systems
Abstract
A new approach with the Riccati equation method is used to obtain a non oscillation criterion for extended quasi linear Hamiltonian systems.
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Taxonomy
TopicsNumerical methods for differential equations · Differential Equations and Numerical Methods · Matrix Theory and Algorithms