On a shock problem involving a nonlinear viscoelastic bar.
Nguyen Thanh Long, Pham Ngoc Dinh, Alain, Tran Ngoc Diem (2005)
Boundary Value Problems [electronic only]
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Nguyen Thanh Long, Pham Ngoc Dinh, Alain, Tran Ngoc Diem (2005)
Boundary Value Problems [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.
Frota, C.L., Lar'kin, N.A. (1998)
Portugaliae Mathematica
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Bofill, F., Quintanilla, R. (2003)
International Journal of Mathematics and Mathematical Sciences
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S. Staněk (1992)
Annales Polonici Mathematici
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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.
Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Guo, Yingxin (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Georgiev, Svetlin Georgiev (2007)
Boundary Value Problems [electronic only]
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Liang, Jin, Lv, Zhi-Wei (2011)
Advances in Difference Equations [electronic only]
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