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.
Islam, M., Neugebauer, J.T. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Svatoslav Staněk (1995)
Annales Polonici Mathematici
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The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Alexander Haščák, Marko Švec (1982)
Czechoslovak Mathematical Journal
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Mohamed Abdalla Darwish (2008)
Mathematica Bohemica
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We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in . The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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