Results 21 to 30 of about 1,675 (248)
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We use upper and lower absolutely continuous functions as subsolutions and supersolutions to discontinuous ordinary differential equations. We present sufficient conditions for the existence of extremal solutions to initial value problems. Due to a new
Krzysztof Topolski
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The stability of Cohen–Grossberg neural networks with time dependent delays
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The study is devoted to the analysis of stability in the sense Lyapunov Cohen-Grossberg neural networks with time-dependent delays. To do this, we study the stability of the steady-state solutions of systems of linear differential equations ...
Il'ya V. Boykov +2 more
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Some applications of Laplace transforms in models with impulses or discontinuous forcing functions [PDF]
Revista Brasileira de Ensino de FísicaCommonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and unit step function is taught, which are used as forcing ...
Diego Miranda Gonçalves +1 more
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Fractional dynamics of globally slow transcription and its impact on deterministic genetic oscillation. [PDF]
PLoS ONE, 2012 In dynamical systems theory, a system which can be described by differential equations is called a continuous dynamical system. In studies on genetic oscillation, most deterministic models at early stage are usually built on ordinary differential ...
Kun Wei +3 more
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APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS
Ural Mathematical Journal, 2022 Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a
Ivan A. Finogenko, Alexander N. Sesekin
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Gaussian quadrature rules and A-stability of Galerkin schemes for ODE
International Journal of Mathematics and Mathematical Sciences, 2003 The A-stability properties of continuous and discontinuous Galerkin methods for solving ordinary differential equations (ODEs) are established using properties of Legendre polynomials and Gaussian quadrature rules. The influence on the A-stability of the
Ali Bensebah +2 more
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Arab Journal of Mathematical Sciences, 2016 In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection ...
V. Subburayan
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EXISTENCE OF PERIODIC SOLUTIONS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH DISCONTINUITIES
Demonstratio Mathematica, 2000 The authors provide an existence theorem on the quasilinear differential equation \[ -(|x'(t)|^{p-2} x'(t))' = f(t,x(t)) \] a.e. on \(T=[0,b]\) with \(a \leq p < \infty\), discontinuous right-hand side \(f(t,\cdot)\) and the periodic boundary conditions \(x(0)=x(b), x'(0)=x'(b)\). The theorem is based on solving a related multivalued problem created by
Matzakos, Nikolaos +1 more
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On the Spatiotemporal Pattern Formation in Nonlinear Coupled Reaction–Diffusion Systems
Axioms, 2023 Nonlinear coupled reaction–diffusion (NCRD) systems have played a crucial role in the emergence of spatiotemporal patterns across various scientific and engineering domains.
Satyvir Singh, Ahmed Hussein Msmali
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Analysis of Finite Solution Spaces of Second-Order ODE with Dirac Delta Periodic Forcing
Axioms, 2023 Second-order Ordinary Differential Equations (ODEs) with discontinuous forcing have numerous applications in engineering and computational sciences.
Susmit Bagchi
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