An Existence Analysis for Nonlinear Equations in Hilbert Space

DOI10.2307/1994465zbMath0156.15802OpenAlexW4245593971MaRDI QIDQ5535869

John Locker

Publication date: 1967

Full work available at URL: https://doi.org/10.2307/1994465

zbMATH Keywords

functional analysis

Related Items (19)

Nonlinear equations with noninvertible linear part ⋮ On the Solvability of Nonlinear Discrete Boundary Value Problems ⋮ Projection schemes and the alternative method for nonlinear boundary-value problems ⋮ Non-self-adjoint semilinear problems at resonance in the alternative method ⋮ The alternative method for solutions in the kernel of a bounded linear functional ⋮ An alternative method for boundary value problems with large nonlinearities ⋮ The Method of Least Squares for Boundary Value Problems ⋮ Galerkin's method for ordinary differential equations subject to generalized nonlinear boundary conditions ⋮ Ranges of nonlinear asymptotically linear operators ⋮ Nonlinear boundary value problems and operators \(TT^*\) ⋮ Equations with unbounded nonlinearities ⋮ Large nonlinearities and monotonicity ⋮ Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces ⋮ Matrix representations of polynomial operators ⋮ Large nonlinearities and closed linear operators ⋮ Alternative problems for nonlinear equations ⋮ Nonlinear differential equations under Stieltjes boundary conditions ⋮ Projection methods for nonlinear boundary value problems ⋮ Existence of solutions to nonselfadjoint boundary value problems for ordinary differential equations

Cites Work

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• Functional analysis and Galerkin's method
• Perturbations of spectral operators, and applications. I. Bounded perturbations
• Branch Points of Solutions of Equations in Banach Space
• Singular Points of Functional Equations

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