On the continuation and boundedness of solutions of a nonlinear differential equation |
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| Authors: | John W Baker |
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| Institution: | Department of Mathematics, La Salle College, Philadelphia, Pennsylvania 19141 USA |
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| Abstract: | Sufficient conditions are given so that all solutions of the nonlinear differential equation u″ + φ(t, u, u′)u′ + p(t) gf(u) g(u′) = h(t, u, u′) are continuable to the right of an initial t-value t0 ? 0. These conditions are then extended so that all solutions u of the equation in question together with their derivative u′ are bounded for t ? t0 . |
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