Positive solutions of a boundary value problem with integral boundary conditions [PDF]
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Localized direct segregated boundary-domain integral equations for variable-coefficient transmission problems with interface crack [PDF]
The full text of the published article can be accessed at the link belowSome transmission problems for scalar second order elliptic partial differential equations are considered in a bounded composite domain consisting of adjacent anisotropic subdomains ...
Mikhailov, SE +2 more
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Analysis of some localized boundary-domain integral equations [PDF]
Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is
Mikhailov, SE +2 more
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Boundary value problems for fractional differential inclusions with four-point integral boundary conditions [PDF]
In this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps.
Bashir Ahmad , Sotiris K. Ntouyas
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On a fractional differential inclusion with four-point integral boundary conditions [PDF]
We study the existence of solutions for fractional differential inclusions of order q∈ (1,2] with four-point integral boundary conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.
Aurelian Cernea
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Localized boundary-domain integral equation formulation for mixed type problems [PDF]
Copyright @ 2010 Walter de Gruyter GmbHSome modified direct localized boundary-domain integral equations (LBDIEs) systems associated with the mixed boundary value problem (BVP) for a scalar “Laplace” PDE with variable coefficient are formulated and ...
Mikhailov, SE +5 more
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In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
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We discuss the existence of solutions for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions.
Ahmed Alsaedi +2 more
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Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
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