Positive solutions of an integral boundary value problem for singular differential equations of mixed type with \(p\)Laplacian

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Authors
Changlong Yu
 College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China.
Jufang Wang
 College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China.
Yanping Guo
 College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China.
Abstract
In this paper, by LeggettWilliam fixed point theorem, we establish the existence of triple positive
solutions of a new kind of integral boundary value problem for the nonlinear singular differential equations
with \(p\)Laplacian operator, in which \(q(t)\) can be singular at \(t = 0; 1\). We also show that the results obtained
can be applied to study certain higher order mixed boundary value problems. At last, we give an example
to demonstrate the use of the main result of this paper. The conclusions in this paper essentially extend
and improve the known results.
Share and Cite
ISRP Style
Changlong Yu, Jufang Wang, Yanping Guo, Positive solutions of an integral boundary value problem for singular differential equations of mixed type with \(p\)Laplacian, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 60486057
AMA Style
Yu Changlong, Wang Jufang, Guo Yanping, Positive solutions of an integral boundary value problem for singular differential equations of mixed type with \(p\)Laplacian. J. Nonlinear Sci. Appl. (2016); 9(12):60486057
Chicago/Turabian Style
Yu, Changlong, Wang, Jufang, Guo, Yanping. "Positive solutions of an integral boundary value problem for singular differential equations of mixed type with \(p\)Laplacian." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 60486057
Keywords
 Positive solutions
 integral boundary value problem
 LeggettWilliam fixed point theorem
 pLaplacian operator
 cone.
MSC
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