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The theory of u 0 -positive operators with respect to a cone in a Banach space is applied to the class of even-order differential equation on measure chains <? -- FORMULA OMITTED -->, satisfying the lidstone boundary conditions x Δ2i (0) = 0, 0 =< i =< m - 1; x Δ2j (σ 2 (1)) = 0, 0 =< j =< m - 1. The existence of a smallest positive...
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