General existence principles for nonlocal boundary value problems with \(\phi\)-Laplacian and their applications

DOI10.1155/AAA/2006/96826zbMath1147.34007OpenAlexW2077033041MaRDI QIDQ2491391

Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/aaa/2006/96826

zbMATH Keywords

nonlocal boundary value problems\(\phi\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)

Related Items (11)

Existence results for first derivative dependent \(\varphi \)-Laplacian boundary value problems ⋮ Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations ⋮ Unnamed Item ⋮ Positive and dead core solutions of singular BVPs for third-order differential equations ⋮ Multiple positive solutions of non-local initial value problems for first order differential systems ⋮ Some existence results of positive solutions for \(\varphi\)-Laplacian systems ⋮ An existence principle for nonlocal difference boundary value problems with \(\varphi \)-Laplacian and its application to singular problems ⋮ Positive and dead core solutions of singular Dirichlet boundary value problems with \(\varphi\)-Laplacian ⋮ Positive and dead-core solutions of two-point singular boundary value problems with \(\varphi \)-Laplacian ⋮ Boundary value problems associated with singular strongly nonlinear equations with functional terms ⋮ Unnamed Item

Cites Work

• A nonlocal boundary value problem with singularities in phase variables
• Existence theory for functional \(p\)-Laplacian equations with variable exponents
• POSITIVE SOLUTIONS OF NONLOCAL SINGULAR BOUNDARY VALUE PROBLEMS
• SOLVABILITY OF SINGULAR DIRICHLET BOUNDARY-VALUE PROBLEMS WITH GIVEN MAXIMAL VALUES FOR POSITIVE SOLUTIONS
• Existence for a diffusing population with returns from the boundary to the interior
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$
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