The Mawhin Operator

Robert F. Brown

Chapter Chapter 12 in A Topological Introduction to Nonlinear Analysis, 2014, pp 87-92 from Springer

Abstract: Abstract In Chap. 5 we saw that if e: R → R is an odd, T-periodic function, then the forced pendulum equation with forcing term e, that is, y ″ + a sin y = e $$\displaystyle{y'' + a\sin y = e}$$ always has a solution y : R → R $$y: \mathbf{R} \rightarrow \mathbf{R}$$ that is also an odd, T-periodic function.

Keywords: Forced Pendulum Equation; Leray-Schauder Degree; Fredholm Operator; Fixed Point Problem; Normed Linear Space (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11794-2_12

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