Positive solutions of superlinear Hammerstein integral equations in Banach spaces

DOI10.1216/JIEA/1181076028zbMath0909.45005OpenAlexW2092856523MaRDI QIDQ1127696

Bendong Lou

Publication date: 28 March 1999

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/nrm/vol94/cont9-4/cont9-4.htm

zbMATH Keywords

positive solutionordered Banach spacesuperlinear Hammerstein integral equationssuperlinear Sturm-Liouville equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Linear operators on ordered spaces (47B60) Abstract integral equations, integral equations in abstract spaces (45N05) Positive solutions of integral equations (45M20)

Cites Work

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• Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces
• New a priori estimates for the solutions of two-point boundary-value problems and applications
• Existence of solutions of boundary value problems for nonlinear second order impulsive differential equations in Banach spaces
• Solutions of superlinear Sturm-Liouville problems in Banach spaces
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Some new fixed point theorems of increasing operators and applications

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