Preservation of the solvability of a semilinear global electric circuit equation

DOI10.1134/S0965542518120096zbMath1420.35423OpenAlexW2913316098MaRDI QIDQ2420928

A. V. Chernov

Publication date: 7 June 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518120096

zbMATH Keywords

solution uniquenesscontrol of higher coefficient and right-hand sidesemilinear differential equation of global electric circuitstable existence of global solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Electromagnetic theory (general) (78A25) Geo-electricity and geomagnetism (86A25) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

On totally global solvability of evolutionary equation with unbounded operator ⋮ On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation ⋮ Operator equations of the second kind: theorems on the existence and uniqueness of the solution and on the preservation of solvability ⋮ On preservation of global solvability of controlled second kind operator equation ⋮ On totally global solvability of controlled second kind operator equation ⋮ Volterra funktional equations in the stability problem for the existence of global solutions of distributed controlled systems

Cites Work

• On a majorant-minorant criterion for the total preservation of global solvability of distributed controlled systems
• Initial-boundary value problems for the equations of the global atmospheric electric circuit
• Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation
• Nonlinear Goursat-Darboux control problem: conditions for the preservation of global solvability
• Functional-operator Volterra equations and existence-stability of global solutions of boundary value problems
• A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation
• Differentiation of the functional in a parametric optimization problem for the higher coefficient of an elliptic equation
• On the totally global solvability of a controlled Hammerstein type equation with a varied linear operator
• The features of gradient methods for distributed optimal-control problems
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