Results 11 to 20 of about 8,374,575 (273)
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
Electronic Journal of Differential Equations, 2011 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 $mu^*, lambda ...
Jeff R. L. Webb
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions [PDF]
Boundary Value Problems, 2007 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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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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Nonlocal Mixed Systems With Neumann Boundary Conditions [PDF]
Mathematical Methods in the Applied SciencesABSTRACTWe prove well posedness and stability in for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to of classical results about parabolic equations with Neumann conditions ...
Rinaldo M. Colombo +2 more
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Nonlocal effect on boundary conditions of cantilever nanobeam
AIP Conference Proceedings, 2020 Free vibration of cantilever nanobeam has been investigated with the help of Eringen's Nonlocal Elasticity Theory. Nonlocal effect on boundary conditions have been taken into account. Variational energy formulation of nanobeam has been carried out for obtaining the nonlocal governing equation of motion and boundary conditions.
Arda, Mustafa, Aydogdu, Metin
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Second order systems with nonlinear nonlocal boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
Pao, C.V.
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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Recovering differential operators with nonlocal boundary conditions [PDF]
Analysis and Mathematical Physics, 2015 Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
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Effect of boundary conditions and constitutive relations on the free vibration of nonlocal beams
Results in Physics, 2020 The free vibrations of nonlocal Euler and Timoshenko beams have been studied extensively, but there still remain some problems concerning boundary conditions and constitutive relations.
Gen Li +3 more
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