Positive solutions of some three point boundary value problems via fixed point index theory

By J. R. L. Webb. 2001

226 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d73e0a0aba9296296869125014e8632b65618b1a

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In Applied Mathematics

In Geometry and Topology

In Numerical Analysis

Citations in the corpus

Solutions of perturbed Hammerstein integral equations with applications (2016, methodology): “Nonlocal BCs have been also studied in the the context of elliptic problems, we mention the papers [4, 41, 76, 77, 81, 83].”
EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS (2003, background): “Webb [13] studied the existence of positive solutions of (1.”
Positive Solutions for Systems of nth Order Three-point Nonlocal Boundary Value Problems (2007, unknown): “AMS (MOS) Subject Classifications: 34B18, 34A34”
Positive solutions for systems of m‐point nonlinear boundary value problems (2008, background): “The importance of positive solutions for boundary value problems, both theoretically as well as from the perspective of their applications in physical and engineering sciences, has been well documented in the literature; see, for example, [1, 5, 6, 7, 9, 12, 13, 14, 16, 20, 27].”
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains (2014, unknown): “The approach that we use is topological, relies on classical fixed point index theory and we make use of ideas from the papers [16, 26, 27, 29, 35, 36, 51, 55, 58].”
Positive solutions of a second-order integral boundary value problem (2006, background): “When a(t) ≡ 1, b(t) ≡ 0, H1(x) ≡ x ≡ H2(x), γ0 = γ1 = 0, α and β are step functions on [0,1] (either α or β may be identical to 0), (1) reduces to a multi-point boundary value problem, which arises in many applied sciences, for example, in theory of elastic stability (see [21,23]), and which has thu”
Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type (2006, methodology): “Multiple positive solutions for both 3-point cases has been done by Webb [23].”
Positive solutions for systems of generalized three-point nonlinear boundary value problems (2008, background): “For several years now, there has been a great deal of activity in studying positive solutions of boundary value problems for ordinary differential equations.”
A Survey On Nonlocal Boundary Value Problems (2007, methodology): “Feng and Webb established a result in which f is allowed to have nonlinear growth.”