Exponential dichotomies, the Fredholm alternative, and transverse homoclinic orbits in partial functional differential equations

DOI10.1007/s10884-005-8274-9zbMath1100.34061OpenAlexW2039653736MaRDI QIDQ818890

Shigui Ruan, Wei Nian Zhang

Publication date: 21 March 2006

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-005-8274-9

zbMATH Keywords

exponential dichotomyLyapunov-Schmidt methodFredholm alternative

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30)

Related Items (5)

Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems ⋮ The Fredholm alternative for parabolic evolution equations with inhomogeneous boundary conditions ⋮ Bifurcation of Bounded Solutions of Impulsive Differential Equations ⋮ Pseudo affine-periodic solutions for delay differential systems ⋮ Transversal homoclinic orbits and chaos for partial functional differential equations

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