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Titlebook: Existence Theory for Nonlinear Ordinary Differential Equations; Donal O’Regan Book 1997 Springer Science+Business Media Dordrecht 1997 Bou

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First order periodic problems,placing a Landesman Lazer type inequality on our nonlinearity . we will establish the existence of nonnegative solutions to (1.1). Of course analogue results could be obtained for nonpositive solutions. The proof is based on a technique initiated by Mawhin [4, chapter 6] and extended by Nkashama and Santanilla [7] in the early 1990’s.
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Positone boundary value problems,te absolute temperature . in the rod is.for suitable . and .. Here .(.)may be interpreted as the reciprocal of the local heat conductivity and . as the law governing heat generation as a function of position and temperature.
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