Results 91 to 100 of about 19,415 (207)
Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Nonlocal symmetries of Riccati and Abel chains and their similarity reductions
, 2012 We study nonlocal symmetries and their similarity reductions of Riccati and Abel chains. Our results show that all the equations in Riccati chain share the same form of nonlocal symmetry.
Bluman G. W. +5 more
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Applied Stochastic Models in Business and Industry, Volume 42, Issue 3, May/June 2026.ABSTRACT Traditional short‐rate models introduce volatility directly into the instantaneous rate via Brownian shocks. However, empirical data suggest that short‐term interest rates exhibit smoother behavior than such models imply. We propose a two‐factor Gaussian short‐rate model in which the short rate is a deterministic exponential filter of a ...
Allan Jonathan da Silva
wiley +1 more source
Convergence of Galerkin approximations for operator Riccati equations: A nonlinear evolution equation approach [PDF]
An approximation and convergence theory was developed for Galerkin approximations to infinite dimensional operator Riccati differential equations formulated in the space of Hilbert-Schmidt operators on a separable Hilbert space.
Rosen, I. G.
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Oscillation criteria for nonlinear fractional differential equation with damping term
Open Physics, 2016 In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a
Bayram Mustafa +2 more
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Quaternionic-valued ordinary differential equations. The Riccati equation
Journal of Differential Equations, 2009 The paper uses Poincaré's operator and finite-dimensional fixed point theory to obtain existence and multiplicity results for the T-periodic solutions \(q(t)\) of quaternionic-valued equations of the form \[ \dot q = qa(t)q + b(t)q + qd(t) + c(t), \] where \(a, b, c : \mathbb R \to \mathbb H\) are T-periodic continuous quaternionic-valued functions ...
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On solving a linear control problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The problem of a linear regulator is considered. There is a system of linear differential equations with a quadratic control quality criterion. The method of dynamic programming is applied to the solution of the considered linear problem.
M. Muhtarov, A.H. Kalidolday
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Riccati’s differential equation in birth-death processes
Trabajos de Estadistica Y de Investigacion Operativa, 1985 Summary: This note reviews the occurrence of Riccati's equation in three birth- death type processes, and outlines their solutions.
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Rational solutions of Riccati differential equation with coefficients rational [PDF]
Applied Mathematics and Computation, 2011 This paper presents a simple and efficient method for determining the rational solution of Riccati differential equation with coefficients rational. In case the differential Galois group of the differential equation , is reducible, we look for the rational solutions of Riccati differential equation , by reducing the number of checks to be made and by
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Oscillation of a time fractional partial differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We consider a time fractional partial differential equation subject to the Neumann boundary condition. Several sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method and a generalized ...
P. Prakash +3 more
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