Results 1 to 10 of about 49 (39)
Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping
Frontiers in Applied Mathematics and Statistics, 2023 In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness
Soh Edwin Mukiawa +4 more
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Positive solutions for (p, q)-equations with convection and a sign-changing reaction
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
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On non-resistive limit of 1D MHD equations with no vacuum at infinity
Advances in Nonlinear Analysis, 2021 In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity
Li Zilai, Wang Huaqiao, Ye Yulin
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Advances in Differential Equations, 2012 This paper discusses the existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions in Hilbert spaces. The discussion is based on analytic semigroups theory and fixed point theorem.
Pengyu Chen, Yongxiang Li, Hongxia Fan
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On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions
Moroccan Journal of Pure and Applied Analysis, 2021 The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
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Existence of solutions to strongly damped quasilinear wave equations
Advances in Differential Equations, 2012 In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of ...
Hongying Luo, Li-mei Li, T. Ma
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Existence of solutions to strongly damped plate or beam equations
Boundary Value Problems, 2012 In this paper, we study a strongly damped plate or beam equation. By using spatial sequence techniques and energy estimate methods, we obtain an existence theorem of the solution to abstract strongly damped plate or beam equation and to a nonlinear plate
Hongying Luo, Li-mei Li, Tian Ma
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Open Mathematics, 2023 In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
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Singular quasilinear convective elliptic systems in ℝN
Advances in Nonlinear Analysis, 2022 The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto +2 more
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Regularity of global solution to atmospheric circulation equations with humidity effect
Boundary Value Problems, 2012 In this article, the regularity of the global solutions to atmospheric circulation equations with humidity effect is considered. Firstly, the formula of the global solutions is obtained by using the theory of linear operator semigroups.
Hongying Luo
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