The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces
2013 ◽
Vol 2013
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pp. 1-7
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Keyword(s):
By introducing new definitions ofϕconvex and-φconcave quasioperator andv0quasilower andu0quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. Our results are even new toϕconvex and-φconcave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.
Keyword(s):
2021 ◽
Vol 8
(1)
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pp. 37-48
2012 ◽
Vol 142
(5)
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pp. 1043-1050
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1997 ◽
Vol 30
(8)
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pp. 5179-5190
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Keyword(s):
2008 ◽
Vol 48
(7-8)
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pp. 1178-1190
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2015 ◽
Vol 2015
(1)
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2008 ◽
Vol 341
(1)
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pp. 433-444
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