Properties of Solutions of $u + c(t)f(u)h(u') = 0$ with Explicit Initial Conditions

DOI10.1137/0504026zbMath0256.34002OpenAlexW2005525196MaRDI QIDQ5670951

C. M. Petty, W. E. Johnson

Publication date: 1973

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0504026

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items

Lower bounds and approximations of the locations of movable singularities of some nonlinear differential equations using parameterized bounded operators ⋮ Battle-outcome-prediction conditions for variable-coefficient Lanchester- type equations for area fire ⋮ Distance between vertical asymptotes of solutions of certain nonlinear differential equations ⋮ Asymptotic behavior of solutions of a second order nonlinear differential equation ⋮ On the continuation and boundedness of solutions of a nonlinear differential equation ⋮ Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation ⋮ Qualitative behavior of a generalized Emden-Fowler differential system ⋮ Battle-outcome prediction for an extended system of Lanchester-type differential equations ⋮ Non-continuation results for differential equations by several Lyapunov functions