Infinitely many positive solutions for a differential inclusion problem involving the p(x) -Laplacian

2012 ◽  
Vol 285 (11-12) ◽  
pp. 1303-1315
Author(s):  
Ge Bin ◽  
Zhou QingMei
Keyword(s):  
Differential Inclusion ◽  
Positive Solutions ◽  
Inclusion Problem ◽  
Differential Inclusion Problem

scholarly journals Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mehdi Shabibi ◽  
Mohammad Esmael Samei ◽  
Mehran Ghaderi ◽  
Shahram Rezapour
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusion ◽  
Time Scale ◽  
Caputo Derivative ◽  
Integral Boundary Conditions ◽  
Inclusion Problem ◽  
Double Integral ◽  
Integral Boundary ◽  
Quantum Calculus ◽  
Differential Inclusion Problem

AbstractIn this work, we study a q-differential inclusion with doubled integral boundary conditions under the Caputo derivative. To achieve the desired result, we use the endpoint property introduced by Amini-Harandi and quantum calculus. Integral boundary conditions were considered on time scale $\mathcal{T}_{t_{0}}=\{t_{0},t_{0}q,t_{0}q^{2}, \ldots\}\cup \{0\}$ T t 0 = { t 0 , t 0 q , t 0 q 2 , … } ∪ { 0 } . To better evaluate the validity of our results, we provided an example, some graphs, and tables.

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