Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
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DOI: 10.1186/s13661-017-0904-8
Abstract: AbstractThe authors consider the impulsive differential equation with Monge-Ampère operator in the form of {((u′(t))n)′=λntn−1f(−u(t)),t∈(0,1),t≠tk,k=1,2,…,m,Δ(u′)n|t=tk=λIk(−u(tk)),k=1,2,…,m,u′(0)=0,u(1)=0,$$\textstyle\begin{cases} ( (u'(t) )^{n} )'=\lambda nt^{n-1}f (-u(t) ), \quad t\in(0,1), t\neq t_{k}, k=1, 2, \ldots, m, \\ \Delta (u' )^{n}|_{t=t_{k}}=\lambda I_{k}… read more here.
Keywords: differential equation; amp operator; impulsive differential; monge amp ... See more keywords