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Let be two decreasing real n-tuples, and let be a real -tuple such that (1.10).
Let (X= [ {a,b} ]), (alpha= m= 0 ) and f, g be two decreasing functions for all (x in X).
Let (x, y:[alpha,beta]rightarrow I) be two decreasing continuous functions and (w:[alpha,beta]rightarrow mathbb{R} ) continuous.
Additionally suppose that (mathbf{x}, mathbf{y}in[ a,b]^{m}) are two decreasing m-tuples and (mathbf{w}inmathbb{R}^{m}) which satisfy conditions (1.4), (1.5).
Consequently, BVPs (1.1) have at least two decreasing and concave positive solutions with (0leq u_{2}(t)< r< u_{1}(t)leq R).
So we conclude that BVP (5.2) has least two decreasing and concave positive solutions (u_{1}(t)), (u_{2}(t)) satisfying (0leq u_{2}(t)<2<u_{1}(t)leq6) for (tin[0,1]).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com