On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals
From MaRDI portal
Publication:5253323
DOI10.1017/S0013091514000108zbMath1322.34038MaRDI QIDQ5253323
Publication date: 5 June 2015
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Integral operators (47G10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Boundary eigenvalue problems for ordinary differential equations (34B09)
Related Items (23)
Coercive nonlocal elements in fractional differential equations ⋮ Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations ⋮ On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds ⋮ Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems ⋮ New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function ⋮ The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems ⋮ A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs ⋮ A note on semipositone boundary value problems with nonlocal, nonlinear boundary conditions ⋮ A positive fixed point theorem with applications to systems of Hammerstein integral equations ⋮ Nonlocal differential equations with convolution coefficients and applications to fractional calculus ⋮ Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions ⋮ Radially symmetric solutions of elliptic PDEs with uniformly negative weight ⋮ Partial Hölder continuity of minimizers of functionals satisfying a VMO condition ⋮ Partial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditions ⋮ Topological analysis of doubly nonlocal boundary value problems ⋮ Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs ⋮ A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems ⋮ Nonlocal differential equations with concave coefficients of convolution type ⋮ A one-dimensional Kirchhoff equation with generalized convolution coefficients ⋮ Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs ⋮ A topological approach to a class of one-dimensional Kirchhoff equations ⋮ Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case ⋮ Coupled systems of boundary value problems with nonlocal boundary conditions
Cites Work
- On a nonlocal BVP with nonlinear boundary conditions
- Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
- Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale
- Positive solutions to boundary value problems with nonlinear boundary conditions
- Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions
- Existence of a positive solution to systems of differential equations of fractional order
- The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale
- On nonlinear boundary conditions satisfying certain asymptotic behavior
- Positive solutions of nonlocal boundary value problems involving integral conditions
- Existence and multiplicity of non-negative solutions for systems of perturbed Hammerstein integral equations
- Third order boundary value problems with nonlocal boundary conditions
- Nonlocal conjugate type boundary value problems of higher order
- Remarks on a non-local boundary value problem
- On a first-order semipositone discrete fractional boundary value problem
- Non-negative solutions of systems of ODEs with coupled boundary conditions
- Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions
- Positive solutions of a second-order integral boundary value problem
- Existence and nonexistence results for positive solutions of an integral boundary value problem
- Positive solutions to differential inclusions with nonlocal, nonlinear boundary conditions
- Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations
- Positive solutions to a system of second-order nonlocal boundary value problems
- On a discrete fractional three-point boundary value problem
- Multiple Positive Solutions of Semilinear Differential Equations with Singularities
- Solutions of nonlinear equations in cones and positive linear operators
- POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
- NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS
- Nonlocal systems of BVPS with asymptotically sublinear boundary conditions
This page was built for publication: On Nonlinear Boundary Conditions Involving Decomposable Linear Functionals
