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A note on some nonlinear fourth order differential equations. (English) Zbl 1291.34031

From the abstract: “For a family of fourth order semilinear ordinary differential equations, we discuss some fundamental issues, such as global continuation of solutions and their qualitative behaviours.”

MSC:

34A34 Nonlinear ordinary differential equations and systems
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34B40 Boundary value problems on infinite intervals for ordinary differential equations