Modified Riccati technique for half-linear differential equations with delay [PDF]
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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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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Local estimates for modified Riccati equation in theory of half-linear differential equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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Investigating the stochastic higher dimensional nonlinear Schrodinger equation to telecommunication engineering [PDF]
Scientific ReportsIn this paper, we examine numerous soliton solutions of the nonlinear (3+1)-dimensional stochastic Schrödinger equation which is indispensable for describing wave propagation in noisy or random conditions, and catches the interaction between nonlinearity
Aziz Khan +5 more
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Abundant soliton solutions in saturated ferromagnetic materials modeled via the fractional Kraenkel–Manna–Merle system [PDF]
Scientific ReportsThe Modified Generalized Riccati Equation Mapping Technique is employed to discover novel solutions for the Fractional Kraenkel–Manna–Merle system. In this system, a nonlinear of ultra_short wave pulse propagates across saturated ferromagnetic-materials ...
Loubna Ouahid +5 more
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Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation. [PDF]
PLoS ONEThis work considers a stochastic form of an extended version of the Kairat-II equation by adding Browning motion into the deterministic equation. Two analytical approaches are utilized to derive analytical solutions of the modified equation.
Khaled Aldwoah +5 more
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Applied Sciences, 2021 This paper presents modeling and infinite-time suboptimal control of a quadcopter device using the state-dependent Riccati equation (SDRE) method. It establishes a solution to the control problem using SDRE and proposes a new procedure for solving the ...
Sławomir Stępień +1 more
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Memory-Limited Partially Observable Stochastic Control and Its Mean-Field Control Approach [PDF]
Entropy, 2022 Control problems with incomplete information and memory limitation appear in many practical situations. Although partially observable stochastic control (POSC) is a conventional theoretical framework that considers the optimal control problem with ...
Takehiro Tottori, Tetsuya J. Kobayashi
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Applied Sciences, 2019 A new controller based on the modified Riccati-like Equation is developed in this paper. The interval type 2 fuzzy model is applied and embedded in the controller to ensure the robustness to parameter uncertainties and also to support calculation ...
Do Xuan Phu, Seung-Bok Choi
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Impact of Brownian motion on the optical soliton solutions for the three component nonlinear Schrödinger equation [PDF]
Scientific ReportsIn this manuscript, the three-component nonlinear stochastic Schrö dinger equation under the effects of Brownian motion in the Stratonovich sense is examined here.
Muhammad Zafarullah Baber +5 more
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