Topological identification of multiple solutions to parametrized nonlinear equations

DOI10.2140/pjm.1988.131.51zbMath0615.47042OpenAlexW2026858527MaRDI QIDQ1820417

Robert F. Brown

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.131.51

zbMATH Keywords

retractionNielsen numberthree-point boundary value problemNielsen fixed point theorysecond-order ordinary differential systemLeray-Schauder boundary conditionparametrized differential equationretractible map

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Fixed points and coincidences in algebraic topology (55M20)

Related Items (7)

Nontrivial application of Nielsen theory to differential systems ⋮ Unnamed Item ⋮ Multiple local solutions to nonlinear control processes ⋮ Nielsen number, impulsive differential equations and problem of Jean Leray ⋮ Positive oriented periodic solutions of the first-order complex ODE with polynomial nonlinear part ⋮ Multiple bounded solutions of differential inclusions: The Nielsen theory approach ⋮ A nontrivial example of application of the Nielsen fixed-point theory to differential systems: Problem of Jean Leray

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