A short course on positive solutions of systems of ODEs via fixed point index

zbMath1470.47047arXiv1306.4875MaRDI QIDQ4642089

Gennaro Infante

Publication date: 18 May 2018

Full work available at URL: https://arxiv.org/abs/1306.4875

zbMATH Keywords

existenceconepositive solutionboundary value problemfixed point index

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

Related Items (9)

Existence of solutions for \(n^{\text{th}}\)-order nonlinear differential boundary value problems by means of fixed point theorems ⋮ On a first-order differential system with initial and nonlocal boundary conditions ⋮ A version of Krasnosel'skiĭ's compression-expansion fixed point theorem in cones for discontinuous operators with applications ⋮ On the solvability of a parameter-dependent cantilever-type BVP ⋮ Existence of solutions of integro-differential semilinear elliptic equations ⋮ Multiplicity results for operator systems via fixed point index ⋮ Compression-expansion fixed point theorems for decomposable maps and applications to discontinuous \(\phi\)-Laplacian problems ⋮ Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence ⋮ A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications

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