Results 21 to 30 of about 4,000 (117)
It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions
A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained.
Yuandi Wang, Hamdi Zorgati
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Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions
In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
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Numerical schemes for a class of nonlocal conservation laws: a general approach
In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. In a first step, we approximate the nonlocal term with an appropriate quadrature rule applied to the spatial discretization.
Jan Friedrich +2 more
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Green functions for stationary problems with nonlocal boundary conditions
In this paper the Green functions for various stationary problems with nonlocal boundary conditions are investigated.We compare Green functions properties for classical boundary conditions with properties of Green functions for problems with nonlocal ...
Svetlana Roman, Artūras Štikonas
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Relation between nonlocal surface and bulk dark solitons
We investigate the existence and stability of nonlocal surface dark solitons at the interface formed by a nonlocal nonlinear self-defocusing medium and a linear medium.
Xinghui Gao, Chengyun Zhang, Qing Wang
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In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
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On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
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On Nonclassical Impulsive Ordinary Differential Equations with Nonlocal Conditions
Results on mild solutions of nonclassical differential equations with impulsive and nonlocal conditions are extended to a case when the nonlocal conditions are necessarily non Lipschitz and non compact.
S. A. Bishop +2 more
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Nullspace of the m-th order discrete problem with nonlocal conditions
In this paper, we obtain the representation of the nullspace for m-th order discrete linear problems with nonlocal conditions. An example is given. The research was partially supported by the Research Council of Lithuania (grant No. MIP-047/2014).
Gailė Paukštaitė, Artūras Štikonas
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