Abstract:The author considers an impulsive boundary value problem involving the one-dimensionalp-Laplacian-(φp (u′))′=λωtft,u, 0<t<1, t≠tk, Δu|t=tk=μIktk, utk, Δu′|t=tk=0, k=1,2,…,n, au(0)-bu′(0)=∫01g(t)u(t)dt,u′(1)=0, whereλ>0andμ>0are two parameters. Using fixed point theories, several new and more general existence and multiplicity results are derived in terms of different values ofλ>0andμ>0. The exact upper and lower bounds for these positive solutions are also given. Moreover, the approac… Show more
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