Results 11 to 20 of about 1,617 (206)
Nonlocal Boundary-Value Problems with Local Boundary Conditions
, 2023 We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
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On a Boundary Value Problem for the Biharmonic Equation with Multiple Involutions
Mathematics, 2021 A nonlocal analogue of the biharmonic operator with involution-type transformations was considered. For the corresponding biharmonic equation with involution, we investigated the solvability of boundary value problems with a fractional-order boundary ...
Batirkhan Turmetov +2 more
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Nonlocal boundary value problems with BV-type data
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we present some existence and uniqueness results for solutions of second order boundary value problems, which are functions of bounded variation along with their derivatives.
Jürgen Appell +2 more
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Nonlocal Integro-Differential Equations of the Second Order with Degeneration
Mathematics, 2020 We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable.
Aleksandr I. Kozhanov
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On a Nonlocal Boundary Value Problem at Resonance
Journal of Mathematical Analysis and Applications, 2001 Let \(E\) be the interval \([0,1]\) of \(\mathbb{R}\) and let \(N:C^1(E,\mathbb{R}) \rightarrow L^1(E,\mathbb{R})\) be a continuous operator. The authors study the existence of solutions to the initial value problem \[ Lx(t)=x''(t)=Nx(t), \text{ a.a.t.
Karakostas, G. L., Tsamatos, P. C.
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Weakly nonlocal boundary value problems with application to geology [PDF]
Differential Equations & Applications, 2021 In many cases, groundwater flow in an unconfined aquifer can be simplified to a one-dimensional Sturm-Liouville model of the form: \begin{equation*} x''(t)+λx(t)=h(t)+\varepsilon f(x(t)),\hspace{.1in}t\in(0,π) \end{equation*} subject to non-local boundary conditions \begin{equation*} x(0)=h_1+\varepsilonη_1(x)\text{ and } x(π)=h_2+\varepsilonη_2(x ...
Maroncelli, Daniel, Collins, Emma
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Solutions to nonlocal Neumann boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we study the nonlocal Neumann boundary value problem of the following form $$ u'' =f(t,u,u'),\quad u'(0)=0, \quad u'(1)=\int_{0 }^{1}u'(s)dg(s), $$ where $f:[0,1]\times\mathbb R^n\times\mathbb R^n\to\mathbb R^n$ and $g=\mbox{diag}(g_1 ...
Katarzyna Szymanska-Debowska
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Maximal regular boundary value problems in Banach-valued function spaces and applications
International Journal of Mathematics and Mathematical Sciences, 2006 The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
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Hilfer–Hadamard Fractional Boundary Value Problems with Nonlocal Mixed Boundary Conditions
Fractal and Fractional, 2021 This paper is concerned with the existence and uniqueness of solutions for a Hilfer–Hadamard fractional differential equation, supplemented with mixed nonlocal (multi-point, fractional integral multi-order and fractional derivative multi-order) boundary ...
Bashir Ahmad, Sotiris K. Ntouyas
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Positive solutions of some higher order nonlocal boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We show how a unified method, due to Webb and Infante, of tackling many nonlocal boundary value problems, can be applied to nonlocal versions of some recently studied higher order boundary value problems.
Jeff Webb
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