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Title

ANALYSIS OF A NONLINEAR FOURTH ORDER DIFFERENTIAL EQUATION

Pages

 Start Page 143 | End Page 149

Abstract

 The general nonlinear fourth order differential equation, x"""" + f(1) (x,x"x "",x""")x""" + f(2) (x,x",x "")x "" + f(3)(x,x")x" + f(4)(x,x\",x "",x""",t)x = p(t) is considered. It is proved that if the functions f(i) accept certain sufficient conditions, then there exists a bounded space for state variables, in which the equation has periodic answer. For this purpose we use the existence of Green"s function and Schauder"s theorem.

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