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We study the following third-order p-Laplacian m-point boundary value problems on time scales (&#x03D5;p(u&#x0394;&#x2207;))&#x2207;+a(t)f(t,u(t))=0, t&#x2208;[0,T]T&#x03BA;, u(0)=&#x2211;i=1m&#x2212;2biu(&#x03BE;i), u&#x0394;(T)=0, &#x03D5;p(u&#x0394;&#x2207;(0))=&#x2211;i=1m&#x2212;2ci&#x03D5;p(u&#x0394;&#x2207;(&#x03BE;i)), where &#x03D5;p(s) is p-Laplacian operator, that is, &#x03D5;p(s)=|s|p&#x2212;2s,  p&#x003E;1, &#x03D5;p&#x2212;1=&#x03D5;q,1/p+1/q=1, 0&#x003C;&#x03BE;1&#x003C;&#x22EF;&#x003C;&#x03BE;m&#x2212;2&#x003C;&#x03C1;(T). We obtain the existence of positive solutions by using fixed-point theorem in cones. In particular, the nonlinear term f(t,u) is allowed to change sign. The conclusions in this paper essentially extend and improve the known results

The Existence of Positive Solutions for Third-Order p-Laplacian m-Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales