Nonlinear boundary value problems and a global inverse function theorem

DOI10.1007/BF02415029zbMath0326.35021OpenAlexW2001734960MaRDI QIDQ1225757

Kenneth J. Brown

Publication date: 1975

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02415029

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (17)

Nonlinear discrete Sturm–Liouville problems with global boundary conditions ⋮ Periodic solutions for first order differential systems ⋮ New results on the existence of periodic solutions of periodically perturbed conservative systems ⋮ Existence and uniqueness of periodic solution for a class of differential systems ⋮ Constructive proof of the existence of periodic solutions to the Duffing equation ⋮ An existence and uniqueness result for periodic solution of \(2n\)-order differential equations. ⋮ On the solvability of nonlinear Sturm-Liouville problems ⋮ On the solvability of nonlinear differential equations subject to generalized boundary conditions ⋮ Periodically perturbed conservative systems and a global inverse function theorem ⋮ Periodic boundary value problems for quasilinear systems ⋮ Resonance sets of the feedback control equation ⋮ On nonlinear perturbations of Sturm-Liouville problems in discrete and continuous settings ⋮ Global univalence and global inversion theorems in Banach spaces ⋮ Solving a periodic boundary value problem with the initial value problem method ⋮ On the periodic solution to the Newtonian equation of motion ⋮ New results of some existence theorems on nonlinear boundary value problems ⋮ Existence and uniqueness results for periodic solutions to nonlinear differential equations

Cites Work

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• Existence theory for the Hartree equation
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
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• Linear eigenvalues and a nonlinear boundary value problem
• A nonlinear elliptic boundary value problem
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• SOME OPERATOR EQUATIONS WITH AN INFINITE NUMBER OF SOLUTIONS
• Nonlinear Integral Equations of the Hammerstein Type

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