Results 1 to 10 of about 10,898,847 (178)
Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations [PDF]
Mathematics, 2021 We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is
Zuzana Pátíková, Simona Fišnarová
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Adapted Riccati technique and non-oscillation of linear and half-linear equations
Applied Mathematics Letters, 2018 The aim of this paper is to mention a generalization of the adapted Riccati equation and, using this method, to prove a non-oscillatory result concerning half-linear differential equations with coefficients having mean values.
Michal Vesely, Petr Hasil
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Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations [PDF]
Mathematics, 2020 In this paper, we deal with the oscillation of fourth-order nonlinear advanced differential equations of the form r t y ‴ t α ′ + p t f y ‴ t + q t g y σ t = 0 .
Omar Bazighifan, Ioannis Dassios
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Oscillation Criteria for PDE with p-Laplacian via the Riccati Technique
Journal of Mathematical Analysis and Applications, 2000 The conditions on the function c(x) : R n → R are derived, which ensure that the PDE div(‖∇u‖p − 2 ∇u) + c(x)|u|p − 2u = 0, p > 1, is oscillatory; i.e., ∞ belongs to the closure of the set of zeros of every solution defined on the domain Ω = {x ∈ R n :
Robert Marik
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Modified Riccati technique for half-linear differential equations with delay
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
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Linearized Riccati Technique and (Non-)Oscillation Criteria for Half-Linear Difference Equations [PDF]
Advances in Difference Equations, 2008 We consider the half-linear second-order difference equation , , , where , are real-valued sequences. We associate with the above-mentioned equation a linear second-order difference equation and we show that oscillatory properties of the above ...
Fišnarová Simona +1 more
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A reduction technique for discrete generalized algebraic and difference Riccati equations [PDF]
Linear and Multilinear Algebra, 2014 This paper proposes a reduction technique for the generalized Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalized discrete algebraic Riccati equation. In particular, an analysis on the eigenstructure of the corresponding extended symplectic pencil enables to identify a ...
Lorenzo Ntogramatzidis +1 more
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Nonlinear Suboptimal Tracking Controller Design Using State-Dependent Riccati Equation Technique
IEEE Transactions on Control Systems Technology, 2017 In this brief, a new technique for solving a suboptimal tracking problem for a class of nonlinear dynamical systems is presented. Toward this end, an optimal tracking problem using a discounted cost function is defined and a control law with a feedback-feedforward structure is designed.
Mohammadreza Davoodi +2 more
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Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory
Mathematics, 2023 The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative.
Jagdev Singh +2 more
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International Journal of Advanced Robotic Systems, 2023 This article presents a novel learning-based optimal control approach for dynamic control of continuum robots. Working and interacting with a confined and unstructured environment, nonlinear coupling, and dynamic uncertainty are only some of the ...
Mohammadamin Samadi Khoshkho +2 more
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