An application of the topological degree theory to the study of the Darboux problem for hyperbolic equations

DOI10.1016/0022-247X(80)90064-5zbMath0452.35074MaRDI QIDQ1148470

J. Bryszewski, Lech Gorniewicz, Tadeusz Pruszko

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

integral equationsDarboux problemhyperbolic equationsbounded absolute rectractstopological characterization of the set of solutionstopological degree arguments

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Degree, winding number (55M25) Absolute neighborhood retracts (55M15)

Related Items (1)

Classical solutions of partial differential inclusions in banach spaces

Cites Work

• Asymptotic fixed point theorems for local condensing maps
• Structure of the fixed points sets of k-set-contractions
• On the structure of solutions sets of differential and integral equations in Banach spaces
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