Results 31 to 40 of about 44,008 (295)
On nonlinear spectra for some nonlocal boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We consider some second order nonlinear differential equation with nonlocal (integral) condition. This spectrum differs essentially from the known ones.
Natalija Sergejeva
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In this paper, we consider a problem for a one-dimensional hyperbolic equation with nonlocal integral condition of the second kind. Uniqueness and existence of a generalized solution are proved. In order to prove this statement we suggest a new approach.
Ludmila S Pulkina, Alesya E Savenkova
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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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Investigation of the spectrum for the Sturm-Liouville problem with one integral boundary condition
Nonlinear Analysis, 2010 In this paper, the Sturm–Liouville problem with one classical first type boundary condition and other nonlocal integral boundary conditions of two cases is investigated.
A. Skučaitė +3 more
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Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +3 more
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On time fractional pseudo-parabolic equations with nonlocal integral conditions
Evolution Equations & Control Theory, 2022 <p style='text-indent:20px;'>In this paper, we study the nonlocal problem for pseudo-parabolic equation with time and space fractional derivatives. The time derivative is of Caputo type and of order <inline-formula><tex-math id="M1">\begin{document}$ \sigma,\; \; 0<\sigma<1 $\end{document}</tex-math></inline ...
Tuan, Nguyen Anh +3 more
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An eigenvalue problem for the differential operator with an integral condition
Lietuvos Matematikos Rinkinys, 2012 We analyze solution of a two-dimensional parabolic equation with a nonlocal integral condition by a locally one-dimensional method. The main aim of the paper is to deduce stability conditions of a system of one-dimensional equations with one integral ...
Kristina Jakubėlienė
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Conditioning Analysis of Nonlocal Integral Operators in Fractional Sobolev Spaces
SIAM Journal on Numerical Analysis, 2014 We study the conditioning of nonlocal integral operators with singular and integrable kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one dimension (1D), we present sharp quantification of the extremal eigenvalues in all three parameters: size of nonlocality, mesh size,
Aksoylu, Burak, Unlu, Zuhal
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Nonlinear Analysis, 2008 In this paper the Sturm-Liouville problem with one classical and the other nonlocal two-point or integral boundary condition is investigated. Critical points of the characteristic function are analyzed.
S. Pečiulytė +2 more
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An inverse boundary value problem for transverse vibrations of a bar
Boundary Value Problems, 2022 In this article, we study an inverse problem (IP) for a fourth-order hyperbolic equation with nonlocal boundary conditions. This IP is reduced to the not self-adjoint boundary value problem (BVP) with corresponding boundary condition.
Yashar T. Mehraliyev +4 more
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