Evolution of positive solution curves in semipositone problems with concave nonlinearities

DOI10.1006/jmaa.2000.6787zbMath0985.34014OpenAlexW2031700386MaRDI QIDQ1977789

Sudhasree Gadam, Alfonso Castro, Ratnasingham Shivaji

Publication date: 8 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1502&context=hmc_fac_pub

zbMATH Keywords

existencemultiplicitynonlinear boundary value problemsstability of solutionsDirichlet boundarysecond-order one-dimensional equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential operators (34L30)

Related Items (12)

Exact multiplicity results for a class of two-point boundary value problems ⋮ Exact number of positive solutions for a class of semipositone problems ⋮ Exact multiplicity of positive solutions of a semipositone problem with concave-convex nonlinearity ⋮ Structures and evolution of bifurcation diagrams for a one-dimensional diffusive generalized logistic problem with constant yield harvesting ⋮ Positive solutions of discrete Neumann boundary value problems with sign-changing nonlinearities ⋮ The positive solutions of boundary value problems for a class of one-dimensional \(p\)-Laplacians ⋮ Existence of positive solutions for boundary-value problems of second-order delay differential equations ⋮ Existence of constant-sign solutions to a system of difference equations: the semipositone and singular case ⋮ Positive solutions for infinite semipositone problems with falling zeros ⋮ Nonnegative solution curves of semipositone problems with Dirichlet boundary conditions ⋮ Positive solutions of second-order two-delay differential systems with twin-parameter ⋮ Exact number of positive solutions for semipositone problems

Cites Work

• Existence results for classes of sublinear semipositone problems
• An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking
• Branches of radial solutions for semipositone problems
• Non-negative solutions for a class of non-positone problems
• Uniqueness of stable and unstable positive solutions for semipositone problems
• Positive solutions for a class of nonpositone problems with concave nonlinearities
• Positive solution curves of semipositone problems with concave nonlinearities

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