Results 31 to 40 of about 8,003 (143)
Boundary value problems for singular second order equations
Fixed Point Theory and Applications, 2018 We investigate strongly nonlinear differential equations of the type (Φ(k(t)u′(t)))′=f(t,u(t),u′(t)),a.e. on [0,T], $$\bigl(\Phi \bigl(k(t) u'(t) \bigr) \bigr)'= f \bigl(t,u(t),u'(t) \bigr), \quad\text{a.e. on } [0,T], $$ where Φ is a strictly increasing
Alessandro Calamai +2 more
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Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
Abstract and Applied Analysis, 2018 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
Teffera M. Asfaw
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, 2016 The FitzHugh-Nagumo model describing propagation of nerve impulses in axon is given by fast-slow reaction-diffusion equations, with dependence on a parameter $\epsilon$ representing the ratio of time scales.
Czechowski, Aleksander +1 more
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Image Restoration Based on Stochastic Resonance in a Parallel Array of Fitzhugh–Nagumo Neuron
Complexity, 2020 The poor denoising effect for noisy grayscale images with traditional processing methods would be obtained under strong noise condition, and some image details would be lost.
Huage Zhang +4 more
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A step beyond Tsallis and Renyi entropies [PDF]
, 2005 Tsallis and R\'{e}nyi entropy measures are two possible different generalizations of the Boltzmann-Gibbs entropy (or Shannon's information) but are not generalizations of each others.
Abe +15 more
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Nagumo conditions for systems of second-order differential equations
Journal of Mathematical Analysis and Applications, 1985 The existence of solutions for the boundary value problem \[ (1)\quad x''(t)+f(t,x(t),x'(t))=0,\quad t\in [a,b],\quad x(a)=A,\quad x(b)=B \] where x takes values in a Hilbert space H and f:[a,b]\(\times H\times H\times H\to H\) is a compact mapping, is studied.
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Positive Invariance Condition for Continuous Dynamical Systems Based on Nagumo Theorem
, 2022 In this paper, we obtain sufficient and necessary conditions of some classical convex sets as positively invariant sets for a continuous dynamical system, namely positive invariance conditions. The approach is based on Nagumo Theorem by deriving the tangent cones of these sets.
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Heterogeneous Delays in Neural Networks
, 2014 We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimodal continuous distributions are studied with a focus on different ...
A. Keane +36 more
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Dynamical mechanism of anticipating synchronization in excitable systems [PDF]
, 2004 We analyze the phenomenon of anticipating synchronization of two excitable systems with unidirectional delayed coupling which are subject to the same external forcing.
A. Hodgkin +9 more
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On radially symmetric solutions of the Neumann boundary value problem for the p-Laplace equation
Учёные записки Казанского университета: Серия Физико-математические наукиThe Neumann boundary value problem for the p-Laplace equation with a low order term that does not satisfy the Bernstein–Nagumo condition was studied. The solvability of the problem in the class of radially symmetric solutions was investigated. A class of
A. S. Tersenov, R. C. Safarov
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