A nonlinear and nonlocal evolution equation describing the muscle contraction

DOI10.1016/0362-546X(87)90096-4zbMath0627.45018MaRDI QIDQ3763057

Franco Tomarelli, Lucia Gastaldi

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existenceinitial value problemdiscontinuitiesintegro-differential evolution equationsfirst order, hyperbolic, nonlinear partial integro-differential equationmodels of muscle contractionnonlocal type nonlinearities

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) General biology and biomathematics (92B05)

Related Items (8)

The finite difference method for first order impulsive partial differential-functional equations ⋮ A mathematical study of a muscle contraction model in which the fibre is a continuum of elements ⋮ Mathematical models in muscle contraction: Parallelism in the numerical approach ⋮ Carathéodory solutions to hyperbolic functional differential systems with state dependent delays ⋮ A mathematical study of the plasticity effects in muscle contraction ⋮ A mathematical study of a muscle contraction model in wich the fibre is a continuum of elements ⋮ On a nonlinear and nonlocal evolution equation related to muscle contraction ⋮ A nonlinear nonlocal transport system related to the cross-bridge mechanism of muscle contraction

Cites Work

• A four-state cross bridge model for muscle contraction. Mathematical study and validation
• Mathematical aspects of the cross-bridge mechanism in muscle contraction
• An Elementary Version of the Leray-Schauder Theorem
• A uniqueness result for a nonlinear hyperbolic equation
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