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Two-point boundary value problems for 4th order ordinary differential equations

Two-point boundary value problems for 4th order ordinary differential equations

The new optimal efficient sufficient conditions are established for solvability and uniqueness of a solution of the linear and nonlinear fourth order ordinary differential equations u^(4)(t) = p(t)u(t) + q(t) for t ∈ [a,b], u^(4)(t) = p(t)u(t) + f(t, u(t)) for t ∈ [a,b], under the following two-point boundary conditions …