Rothe and altman type coincidence theorems and applications to differential equations

DOI10.1016/0362-546X(77)90006-2zbMath0347.34028OpenAlexW2039929052MaRDI QIDQ4116745

Klaus Schmitt, Jean Mawhin

Publication date: 1977

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(77)90006-2

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to ordinary differential equations (34C25)

Related Items (8)

Asymptotic Conditions for Periodic Solutions of Ordinary Differential Equations ⋮ Periodic solutions of certain higher order nonlinear differential equations ⋮ Existence theorems for higher order nonlinear periodic boundary value problems ⋮ Periodic solutions of certain higher order differential equations ⋮ Using degree theory for densely defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part ⋮ Boundary value problems at resonance for certain semilinear ordinary differential equations ⋮ Some coincidence theorems in wedges, cones, and convex sets ⋮ Some further results on periodic solutions of certain higher order nonlinear differential equations

Cites Work

• The solvability of some operator equations with a quasi-bounded nonlinearity in normed spaces
• The fixed point index for local condensing maps
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• PERIODIC SOLUTIONS OF (a(t)x′)′ + f(t, x) = p(t)
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