Pointwise estimation of the difference of the solutions of a controlled functional operator equation in Lebesgue spaces

DOI10.1134/S0001434610070242zbMath1235.39016MaRDI QIDQ650279

A. V. Chernov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

stabilityLebesgue spaceglobal solutionscontrol functioninitial boundary-value problemfunctional operator equationGronwall's lemmaincrement of a solutionVolterra operator equation

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Abstract integral equations, integral equations in abstract spaces (45N05) Matrix and operator functional equations (39B42)

Related Items (3)

Majorant sign of the first order for totally global solvability of a controlled functional operator equation ⋮ A generalization of Bihari's lemma to the case of Volterra operators in Lebesgue spaces ⋮ Local convexity conditions for reachability tubes of distributed control systems

Cites Work

• On functional Volterra equations
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