Existence and regularity problems for nonlinear functional equations

DOI10.1007/BF01895646zbMath0371.39001MaRDI QIDQ4147072

Halina Światak

Publication date: 1977

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Mathematics Subject Classification ID

Functional equations and inequalities (39B99)

Cites Work

• Unnamed Item
• General and regular solutions of functional equations characterizing harmonic polynomials
• On the regularity of the distributional and continuous solutions of the functional equations
• Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
• On the regularity of the locally integrable solutions of the functional equations \(a^ i(x,t)f(x+\phi^ i(t))=b(x,t)\)
• Criteria for the regularity of continuous and locally integrable solutions of a class of linear functional equations

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