Results 51 to 60 of about 284 (136)
Monostable-Type Travelling Wave Solutions of the Diffusive FitzHugh-Nagumo-Type System in R
This paper is concerned with monostable-type travelling wave solutions of the diffusive FitzHughNagumo-type system FHN in R N for the two components u and v. By solving v in terms of u, this system can be reduced to a nonlocal single equation for u. When
N Chih, Chiang Huang
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SOLVABILITY OF HIGHER-ORDER BVPS IN THE HALF-LINE WITH UNBOUNDED NONLINEARITIES
This work presents suficient conditions for the existence of unbounded solutions of a Sturm-Liouville type boundary value problem on the half-line. One-sided Nagumo condition plays a special role because it allows an asymmetric unbounded behavior on the ...
Minhós, Feliz +3 more
core +1 more source
計畫編號:NSC99-2115-M032-004研究期間:201008~201107研究經費:350,000本文探討某一p-Laplacian二階非線性方程在廣義區間(time scales)上的存在解。方程式中的外力函數f,滿足適當的限制及Nagumo條件。A p-Laplacian second order nonlinear dynamic equation boundary value problem under a Nagumo condition is concerned.
錢傳仁
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We establish the existence of at least three solutions in the presence of two lower and two upper solutions of some second order nonlinear three point boundary value problem of the type−x″=f(t,x,x ...
Khan, Rahmat Ali +2 more
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Characterizing Safety: Minimal Control Barrier Functions from Scalar Comparison Systems [PDF]
Verifying set invariance has classical solutions stemming from the seminal work by Nagumo, and defining sets via a smooth barrier function constraint inequality results in computable flow conditions for guaranteeing set invariance.
Coogan, Samuel +2 more
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Standing Waves Joining with Turing Patterns in FitzHugh–Nagumo Type Systems
[[abstract]]An article by Kondo and Asai demonstrated that the pattern formation and change on the skin of tropical fishes can be predicted well by reaction-diffusion models of Turing type.
Chen, Chao-Nien; Ei, Shin-Ichiro; Lin, Ya-Ping; Kung, Shih-Yin
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On some third order nonlinear boundary value problems: existence, location and multiplicity results
We prove an Ambrosetti–Prodi type result for some third order fully nonlinear equations, with a parameter s,under several two-point separated boundary conditions. From a Nagumo-type growth condition, an a priori estimate on u'' is obtained.
Minhós, Feliz Manuel
core +1 more source
Existence results for singular nonlinear BVPs in the critical regime [PDF]
We study the existence of solutions for a class of boundary value problems on the half line, associated to a third order ordinary differential equation governed by the Φ-Laplacian operator.
Papalini, Francesca +2 more
core +3 more sources
This paper addresses the existence and location results for coupled system with two fourth-order differential equations with dependence on all derivatives in nonlinearities and subject to Lidstone-type boundary conditions.
Minhós, Feliz, Sousa, Robert de
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Indentical synchronization in complete networks of reaction-diffusion equations of FitzHugh-Nagumo
Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This paper studies the synchronization in complete network consisting of n nodes.
Em, Phan Van Long
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