scholarly journals A counterexample to the Liouville property of some nonlocal problems

2020 ◽  
Vol 37 (3) ◽  
pp. 549-579
Author(s):  
Julien Brasseur ◽  
Jérôme Coville
Keyword(s):  
Nonlocal Problems ◽  
Liouville Property

Existence results for nonlocal problems of (p, q)-Kirchhoff form

2021 ◽  
pp. 1-11
Author(s):  
Haiffa Muhsan B. Alrikabi ◽  
Ayed E. Hashoosh ◽  
Ahmed A. H. Alkhalidi
Keyword(s):  
Existence Results ◽  
Nonlocal Problems

On some nonlocal problems in the calculus of variations

2022 ◽  
Vol 217 ◽  
pp. 112754
Author(s):  
Michel Chipot ◽  
Hayk Mikayelyan
Keyword(s):  
Calculus Of Variations ◽  
Nonlocal Problems

A Sub-Supersolution Method for a Class of Nonlocal Problems Involving the p ( x ) $p(x)$ -Laplacian Operator and Applications

2017 ◽  
Vol 153 (1) ◽  
pp. 171-187 ◽  
Author(s):  
Gelson C. G. dos Santos ◽  
Giovany M. Figueiredo ◽  
Leandro S. Tavares
Keyword(s):  
Laplacian Operator ◽  
Nonlocal Problems

scholarly journals On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations

2022 ◽  
Vol 6 (1) ◽  
pp. 41
Author(s):  
Ravshan Ashurov ◽  
Yusuf Fayziev
Keyword(s):  
Fractional Derivatives ◽  
Separable Hilbert Space ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Value Problem ◽  
Nonlocal Problems ◽  
Existence Of A Solution ◽  
Left Hand ◽  
Liouville Derivative ◽  
The Right

The nonlocal boundary value problem, dtρu(t)+Au(t)=f(t) (0<ρ<1, 0<t≤T), u(ξ)=αu(0)+φ (α is a constant and 0<ξ≤T), in an arbitrary separable Hilbert space H with the strongly positive selfadjoint operator A, is considered. The operator dt on the left hand side of the equation expresses either the Caputo derivative or the Riemann–Liouville derivative; naturally, in the case of the Riemann–Liouville derivatives, the nonlocal boundary condition should be slightly changed. Existence and uniqueness theorems for solutions of the problems under consideration are proved. The influence of the constant α on the existence of a solution to problems is investigated. Inequalities of coercivity type are obtained and it is shown that these inequalities differ depending on the considered type of fractional derivatives. The inverse problems of determining the right-hand side of the equation and the function φ in the boundary conditions are investigated.

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