Results 21 to 30 of about 5,578 (289)
On a class of nonlocal problems for hyperbolic equations with degeneration of type and order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Nonlocal problems for the second order hyperbolic model equation were studied in the characteristic area. The type and order of equations degenerate on the same line $y = 0$.
Oleg A Repin, Svetlana K Kumykova
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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Difference Schemes with Nonlocal Boundary Conditions
Computational Methods in Applied Mathematics, 2001 AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
Goolin, Alexei V. +2 more
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NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES WITH NONLOCAL CONDITIONS [PDF]
Journal of the Korean Mathematical Society, 2004 The authors prove existence, uniqueness and regularity results for the following nonlinear functional differential problem with nonlocal initial condition: \[ \frac{d}{dt} x(t)+Ax(t)+ \partial\Phi\bigl(x(t)\bigr)\ni f \bigl(t,x(t)+k(t),\bigr),\quad 00\), \(k\in L^2(0,T:H)\) and \(x_0\in\overline{D(\Phi)}\).
Jeong, Jin-Mun +2 more
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Mathematics, 2022 In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu +3 more
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International Journal of Antennas and Propagation, 2017 Diffraction nonlocal boundary condition (BC) is one kind of the transparent boundary condition which is used in the finite-difference (FD) parabolic equation (PE).
Ruidong Wang +3 more
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Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition
Lietuvos Matematikos Rinkinys, 2013 In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition.
Kristina Skučaitė-Bingelė +1 more
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Distribution of the critical and other points in boundary problems with nonlocal boundary condition
Lietuvos Matematikos Rinkinys, 2007 In this paper the Sturm–Liouville problem with one classical and other nonlocal two-point or integral boundary condition is investigated. There are critical points of the characteristic function analysed.
Sigita Pečiulytė, Artūras Štikonas
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Diffusion with nonlocal boundary conditions
Journal of Functional Analysis, 2016 We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Arendt, Wolfgang +2 more
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On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Mathematical Modelling and Analysis, 2007 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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