Existence results for the boundary value problems of fractional impulsive differential equations with p-Laplacian operator

We investigate the infinite boundary value problems for second-order impulsive differential equations with supremum by establishing a new comparison result and using the lower and upper solution method, and obtain the existence results for their maximal and minimal solutions.

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Existence results for boundary value problems of second order impulsive differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(90)90285-n ◽

1990 ◽

Vol 149 (1) ◽

pp. 56-69 ◽

Cited By ~ 36

Author(s):

L.H. Erbe ◽

Xinzhi Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Existence Results ◽

Second Order

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Existence results for m-point boundary value problems of nonlinear fractional differential equations with p-Laplacian operator

Advances in Difference Equations ◽

10.1186/1687-1847-2014-69 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 6

Author(s):

Zhi-Wei Lv

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Fractional Differential Equations ◽

Boundary Value ◽

Existence Results ◽

Laplacian Operator ◽

Point Boundary ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential

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Existence and Uniqueness on Solutions for Anti-Periodic Boundary Value Problems of Singular Fractional Differential Equations with P-Laplacian Operator

Advances in Applied Mathematics ◽

10.12677/aam.2021.1011386 ◽

2021 ◽

Vol 10 (11) ◽

pp. 3650-3658

Author(s):

婷婷张

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Fractional Differential Equations ◽

Existence And Uniqueness ◽

Periodic Boundary ◽

Boundary Value ◽

Laplacian Operator ◽

Periodic Boundary Value Problems ◽

Singular Fractional Differential Equations ◽

Fractional Differential

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ANTI-PERIODIC BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER ORDER IMPULSIVE DIFFERENTIAL EQUATIONS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500574163 ◽

2008 ◽

Vol 12 (2) ◽

pp. 401-417 ◽

Cited By ~ 3

Author(s):

Yuji Liu ◽

Zhanji Gui

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Periodic Boundary ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Higher Order ◽

Periodic Boundary Value Problems

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Existence results for boundary value problems of nonlinear fractional differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.07.025 ◽

2011 ◽

Vol 62 (5) ◽

pp. 2374-2382 ◽

Cited By ~ 13

Author(s):

Guoqing Chai

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Fractional Differential Equations ◽

Boundary Value ◽

Existence Results ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential

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Existence of solutions for nonlinear boundary value problems of impulsive differential equations

Acta Mathematica Sinica English Series ◽

10.1007/bf02559942 ◽

1997 ◽

Vol 13 (4) ◽

pp. 503-508

Author(s):

Dong Yujun

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Multiple positive solutions of periodic boundary value problems for second order impulsive differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.10.052 ◽

2008 ◽

Vol 200 (1) ◽

pp. 123-132 ◽

Cited By ~ 6

Author(s):

Yu Tian ◽

Daqing Jiang ◽

Weigao Ge

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Periodic Boundary ◽

Boundary Value ◽

Impulsive Differential Equations ◽

Second Order ◽

Multiple Positive Solutions ◽

Periodic Boundary Value Problems

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Positive and maximal positive solutions of singular mixed boundary value problem

Open Mathematics ◽

10.2478/s11533-009-0049-9 ◽

2009 ◽

Vol 7 (4) ◽

Cited By ~ 4

Author(s):

Ravi Agarwal ◽

Donal O’Regan ◽

Svatoslav Staněk

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Boundary Value Problems ◽

Positive Solutions ◽

Mixed Boundary ◽

Boundary Value ◽

Existence Results ◽

Mixed Boundary Value Problem ◽

Time Singularity ◽

Strong Singularity

AbstractThe paper is concerned with existence results for positive solutions and maximal positive solutions of singular mixed boundary value problems. Nonlinearities h(t;x;y) in differential equations admit a time singularity at t=0 and/or at t=T and a strong singularity at x=0.

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