Existence of nonnegative solutions of singular boundary-value problems for second-order ordinary differential equations.
Yakovlev, M.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Displaying similar documents to “On some boundary value problems for high-order ordinary differential equations.”
Existence of nonnegative solutions of singular boundary-value problems for second-order ordinary differential equations.
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We study the existence of positive solutions to the singular boundary value problem for a second-order FDE ⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1, ⎨ u(t) = ξ(t), a ≤ t ≤ 0, ⎩ u(t) = η(t), 1 ≤ t ≤ b, where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.
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