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Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control

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MdRGROSSINHO et al. 2005.pdf122.25 KBAdobe PDF Ver/Abrir

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In this work we provide an existence and location result for the third-order nonlinear differential equation... We assume that f satisfies a sign-type Nagumo condition which allows an asymmetric unbounded behaviour on the nonlinearity. The arguments used concern Leray–Schauder degree theory and lower and upper solutions technique.

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Third-order Separated Boundary Value Problems Sign-type Nagumo Condition Lower and Upper Solutions A Priori Estimates Leray–Schauder Degree

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Grossinho, Maria do Rosário., F. M. Minhós and A. I. Santos.(2005). "Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control". Journal of Mathematical Analysis and Applications, Vol. 309, No. 1 : pp. 271-283. (Search PDF in 2023).

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