Results 21 to 30 of about 159,429 (265)
Linear Differential Equations as a Data Structure [PDF]
Foundations of Computational Mathematics, 2019 A lot of information concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data-structure, from which mathematical properties can be computed. A variety of algorithms has thus been designed in recent years that do not aim at "solving", but at computing ...
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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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Mathematics, 2020 We consider a control system defined by a linear time-varying differential equation of n-th order with uncertain bounded coefficients. The problem of exponential stabilization of the system with an arbitrary given decay rate by linear static state or ...
Vasilii Zaitsev, Inna Kim
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Wave solutions of the DMBBM equation and the cKG equation using the simple equation method
Frontiers in Applied Mathematics and Statistics, 2022 In this article, we transform the (1 + 1)-dimensional non-linear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and the (2 + 1)-dimensional cubic Klein Gordon (cKG) equation, which are the non-linear partial differential equations, into the ...
Jiraporn Sanjun, Aungkanaporn Chankaew
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Ax–Schanuel for linear differential equations [PDF]
Archive for Mathematical Logic, 2017 24 pages. Minor changes in Sections 1-5.
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Journal of Harbin University of Science and TechnologyThe study of the properties for fractional stochastic differential equation is one of the hot directions in the field of mathematics over the years.
YAO Huili, LIU Mengran, WANG Jingnan
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On linear matrix differential equations
Advances in Applied Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Loewy decomposition of linear differential equations [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 Summary: This paper explains the developments on factorization and decomposition of linear differential equations in the last two decades. The results are applied for developing solution procedures for these differential equations. Although the subject is more than 100~years old, it has been rediscovered as recently as about 20~years ago. A fundamental
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
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Limits of solutions of a perturbed linear differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2002 Using interesting techniques, an existence result for the problem $\ddot{x}+2f\left( t\right) \dot{x}+x+g\left( t,x\right) =0,$ $\lim\limits_{t\rightarrow +\infty }x\left( t\right) =\lim\limits_{t\rightarrow +\infty }\dot{x}\left( t\right) =0,$ is given ...
C. Avramescu, Cristian Vladimirescu
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