Existence of Solutions for Fourth Order Boundary Value Problems on a Time Scale
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS(2010)
摘要
Let T be a closed subset of R with inf T =-infinity and sup T =+infinity. For the fourth order nonlinear dynamic equation, u(Delta4) = f (t , u , u(Delta) , u(Delta2) , u(Delta3)), t is an element of T , where f : T x R-4 --> R is continuous, we assume solutions of initial value problems are unique and extend to T . We consider questions of the uniqueness of solutions implying the existence of solutions for conjugate boundary problems on T .
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关键词
time scale,nonlinear,boundary value problem,monotone sequence
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