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Displaying similar documents to “Unbounded solutions of a boundary value problem for abstract n th-order differential equations on an infinite interval.”

Unbounded solutions of BVP for second order ODE with p -Laplacian on the half line

Yuji Liu, Patricia J. Y. Wong (2013)

Applications of Mathematics

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By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

Nonnegative solutions of a class of second order nonlinear differential equations

S. Staněk (1992)

Annales Polonici Mathematici

Similarity:

A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.