Results 31 to 40 of about 87 (86)
Cooling of a plate with general boundary conditions
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 477-485, 2000., 2000 We consider steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies the general mixed boundary conditions. The Wiener‐Hopf method has been used to obtain the solution in the infinite series form and some special cases ...
F. D. Zaman, R. Al-Khairy
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, 1995 . This paper studies the first order necessary conditions for the optimal controls of semilinear and quasilinear parabolic partial differential equations with pointwise state constraints. Pontryagin type maximum principle is obtained. Keywords. parabolic
Bei Hu, Jiongmin Yong
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Open MathematicsThis article is devoted to the global existence and extinction behavior of the weak solution to a fast diffusion pp-Laplace equation with logarithmic nonlinearity and special medium void.
Liu Dengming, Chen Qi
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Cooling of a layered plate under mixed conditions
International Journal of Stochastic Analysis, Volume 13, Issue 2, Page 197-206, 2000., 2000 We consider the temperature distribution in an infinite plate composed of two dissimilar materials. We suppose that half of the upper surface (y = h, −∞ < x < 0) satisfies the general boundary condition of the Neumann type, while the other half (y = h, 0 < x < ∞) satisfies the general boundary condition of the Dirichlet type. Such a plate is allowed to
F. D. Zaman, R. Al-Khairy
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International Journal of Stochastic Analysis, Volume 12, Issue 3, Page 279-291, 1999., 1998 In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the ...
M. Denche
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Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]
, 2012 MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One
Tsankov, Yulian, Dimovski, Ivan
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Multiplicity results for elliptic Kirchhoff-type problems
Advances in Nonlinear Analysis, 2017 The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff-type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small ...
Baraket Sami, Molica Bisci Giovanni
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Stochastic stability and instability of rumor model
Open MathematicsIn this study, we present a stochastic rumor model. The stability of the disease-free equilibrium state and instability of the free equilibrium E0{E}_{0} of stochastic epidemics model are considered with the help of Lyapunov functions.
Zhang Jing, Wang Xinyao, Wang Xiaohuan
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Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War
Advanced Nonlinear Studies, 2019 In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
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K.: Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
, 2020 Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on ∂D, and non-negative initial condition.
Klaus Kirsten@baylor +5 more
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