Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces

DOI10.1016/j.cnsns.2009.10.011zbMath1221.34053OpenAlexW2002137330MaRDI QIDQ718335

Junfang Zhao, Weigao Ge, Peiguang Wang

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.10.011

zbMATH Keywords

positive solutionsboundary-value problemmeasure of noncompactnessintegral boundary conditionfixed-point index theorythird order

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) 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)

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• Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space
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• Successive iteration of positive solution for a discontinuous third-order boundary value problem
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