Periodic solutions of some Nonlinear Boundary Value Problems of ODE's - Ogbu Mbadiwe, Hilary
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Existence of periodic solutions for higher order ordinary differential equations by the use of Leray- Schauder fixed-point technique depended mainly on the availability of suitable boundedness results. In some cases however, boundedness results were very difficult to establish because of the nature of the Lyapunov functions involved. In this thesis, existence results have been obtained using the Leray- Schauder fixed point technique and the integrated equations for the more general equations of the form : ... x + f (x ) + a1x? + a2x = p (t) x(4) + g ( ... x) + b1x + b2x? + b3x = p (t) x(5) +…mehr

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Produktbeschreibung
Existence of periodic solutions for higher order ordinary differential equations by the use of Leray- Schauder fixed-point technique depended mainly on the availability of suitable boundedness results. In some cases however, boundedness results were very difficult to establish because of the nature of the Lyapunov functions involved. In this thesis, existence results have been obtained using the Leray- Schauder fixed point technique and the integrated equations for the more general equations of the form : ... x + f (x ) + a1x? + a2x = p (t) x(4) + g ( ... x) + b1x + b2x? + b3x = p (t) x(5) + c1x(4) + h x, x? , x , ... x, x(4) ... x + c2x + c3x? + c4x = p (t) where f = f ( x) , g = g ( ... x) , h = h
Autorenporträt
Hilary Mbadiwe Ogbu was born in Umuoleyi Obollo Etiti Udenu L.G.A of Enugu State Nigeria on the 3rd of june 1952.He attended University of Jos,Jos 1976-1980 University of Nigeria,Nsukka 1995-1998 Ebonyi state university,Abakaliki 2002-2008 He obtained B.Sc,M.Sc,PhD respectively.with specialization in differential equation and its applications.