On well-posedness of generalized neural field equations with impulsive control

DOI10.3103/S1066369X16050066zbMath1339.92015MaRDI QIDQ2629432

Evgeny S. Zhukovskiy, Evgenii Burlakov

Publication date: 6 July 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

well-posednessnonlinear integral equationsimpulsive controlVolterra equationsneural field equations

Mathematics Subject Classification ID

Neural biology (92C20) Volterra integral equations (45D05)

Related Items (4)

On the stability of fixed points and coincidence points of mappings in the generalized Kantorovich's theorem ⋮ On continuous and discontinuous models of neural fields ⋮ On inclusions arising in neural field modeling ⋮ Superpositional measurability of a multivalued function under generalized Caratheodory conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Some theoretical and numerical results for delayed neural field equations
• Dynamics of pattern formation in lateral-inhibition type neural fields
• A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
• Waves, bumps, and patterns in neural field theories
• Two bump solutions of a homogenized Wilson-Cowan model with periodic microstructure
• Localized activity patterns in two-population neuronal networks
• On wellposedness of generalized neural field equations with delay
• Towards model-based control of Parkinson's disease

This page was built for publication: On well-posedness of generalized neural field equations with impulsive control