Results 61 to 70 of about 9,053 (252)
On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Benedetti I, Obukhovskii V, Taddei V.
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc
European Journal of Mathematical AnalysisIn this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
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Rational approximations for solving cauchy problems
New Trends in Mathematical Science, 2016 In this letter, numerical solutions of Cauchy problems are considered by multivariate Pade approximations (MPA). Multivariate Pade approximations (MPA) were applied to power series solutions of Cauchy problems that solved by using He’s variational iteration method (VIM).
TURUT, Veyis, BAYRAM, Mustafa
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
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Stabilization of solutions for semilinear parabolic systems as $|x|o infty$
Electronic Journal of Differential Equations, 2009 We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
Alexander Gladkov
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Mathematics, 2019 In this paper, the Cauchy problem of the modified Helmholtz equation (CPMHE) with perturbed wave number is considered. In the sense of Hadamard, this problem is severely ill-posed. The Fourier truncation regularization method is used to solve this Cauchy
Fan Yang, Ping Fan, Xiao-Xiao Li
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
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The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
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Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions
Advances in Difference Equations, 2011 We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space.
Wang Rong-Nian, Xia Jun
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