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In applications one is interested in finding positive solutions.
Chapters 7 and 9 of the text [3] deal with finding positive solutions of several boundary value problems on time scales by various contemporary authors.
During the last ten years, finding positive solutions to semi-positone problems has been actively pursued and significant progress on semi-positone problems has taken place; see [4 8] and the references therein.
Our film crew visited with Dr. Gates during a coral bleaching event in Hawaii to learn about her science and her passion for finding positive solutions to this global crisis.
Concentrate on being positive and finding positive solutions.
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In this paper, we study the matrix equation X + A ⋆ X − 1 A + B ⋆ X − 1 B = Q, where A and B are square matrices, and Q is a positive definite matrix, and propose the iterative methods for finding positive definite solutions of the matrix equation.
I told him that it represents Purple America, which seeks to empower Americans to use their shared values as a guide for civil dialogue and as a means to finding positive and mutual solutions.
The hard part is finding positive signs.
Then finding the positive solutions of the problem (3.13) is equivalent to finding the fixed point the operator equation Tu(t):=lambdasum_{s=1}^{5}G t,s a(s)f bigl s,u(s bigr).
We impose growth conditions on f to apply the Leggett-Williams fixed point theorem in finding three positive solutions of (3).
Thus, finding a positive solution of system (1.5) is equivalent to proving that ℱ has a nontrivial fixed point in D ′.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com