Results 11 to 20 of about 114,654 (282)
Solvability of non-semicontinuous systems of Stieltjes differential inclusions and equations
Advances in Difference Equations, 2020 We prove an existence result for systems of differential inclusions driven by multivalued mappings which need not assume closed or convex values everywhere, and need not be semicontinuous everywhere.
Rodrigo López Pouso +2 more
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Lyapunov exponents for discontinuous differential equations [PDF]
Quarterly of Applied Mathematics, 1990 The vector field associated with a dynamical system is assumed to be piecewise continuously differentiable. The gradient of the vector field, entering into integral expressions for the Lyapunov exponents, may therefore contain derivatives of step functions. Results from the theory of distributions are used in the integrals’ evaluation.
B. S. Berger, M. Rokni
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Discontinuous collocation methods and gravitational self-force applications
, 2021 Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole perturbation ...
Barack, Leor +3 more
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Existence of extremal solutions for discontinuous Stieltjes differential equations
Journal of Inequalities and Applications, 2020 Stieltjes differential equations, which contain equations with impulses and equations on time scales as particular cases, simply consist in replacing usual derivatives by derivatives with respect to a nondecreasing function.
Rodrigo López Pouso +1 more
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On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations
Mathematics, 2022 We investigated the finite/fixed-time stability (FNTS/FXTS) of discontinuous differential equations (DDEs) in this paper. To cope with differential equations that were discontinuous on the right-hand side, we utilized the Filippov solution, which is ...
Luke Li, Dongshu Wang
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Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]
, 2014 This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
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Ain Shams Engineering Journal, 2018 In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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A discontinuous functional differential equation
Journal of Mathematical Analysis and Applications, 2003 The authors give sufficient conditions for the existence of maximal and minimal solutions to discontinuous differential-functional initial value problems of the form \(x'(t)=f(t,x(t), x(\cdot))\), \(x(0)=0\). Apart from measurability and boundedness conditions, \(f\) is assumed to be quasimonotone increasing (with respect to the coordinate cone) in the
Pikuta, Piotr, Rzymowski, Witold
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Continuous dependence of nonmonotonic discontinuous differential equations [PDF]
Transactions of the American Mathematical Society, 1993 Continuous dependence of solutions for a class of nonmonotonic, discontinuous differential equations is studied. First, a local existence theorem due to Z Z . Wu is extended to a larger class. Then, a result concerning continuous dependence for this larger class is proven.
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A note on strong solutions of stochastic differential equations with a discontinuous drift coefficient [PDF]
, 2006 The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Halidias, Nikolaos, Kloeden, Peter E.
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