Results 1 to 10 of about 90,630 (265)
Asymptotic estimations of the solution for a singularly perturbed equation with unbounded boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper studies a two-point boundary value problem with unbounded boundary conditions for a linear singularly perturbed differential equation. Asymptotic estimates are given for a linearly independent system of solutions of a homogeneous perturbed ...
N. Atakhan +2 more
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Duhamel-type integral for the initial boundary value problem
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021 The paper considers the initial boundary value problem for the wave equation for the case of three spatial variables. The definition of a generalized solution is introduced and the existence and uniqueness theorem is proved.
Anikonov Dmitry, Konovalova Dina
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An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems
International Journal of Applied Mechanics and Engineering, 2020 In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
P. Padmaja, P. Aparna, R.S.R. Gorla
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An initial boundary value problem for the Boussinesq equation in a Trapezoid [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a domain, that is, a trapezoid. Using the methods of the theory of monotone operators, we establish theorems on their unique weak solvability in ...
M.T. Jenaliyev +3 more
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On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane
Boundary Value Problems, 2021 The definition of a Green’s function of a Cauchy–Dirichlet problem for the hyperbolic equation in a quarter plane is given. Its existence and uniqueness have been proven. Representation of the Green’s function is given.
Makhmud Sadybekov, Bauyrzhan Derbissaly
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Initial-boundary value problem for the time-fractional degenerate diffusion equation
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper the initial-boundary value problems for the one-dimensional linear time-fractional diffusion equations with the time-fractional derivative ∂ α t of order α ∈ (0, 1) in the variable t and time-degenerate diffusive coefficients t β with β ≥ 1
A. G. Smadiyeva
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Countable hyperbolic systems in the theory of nonlinear oscillations
Karpatsʹkì Matematičnì Publìkacìï, 2016 In this article a model example of a mixed problem for a fourth-order differential equation reduced to initial-boundary value problem for countable hyperbolic system of first order coherent differential equations.
T.I. Firman
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An Initial-Boundary Value Problem With New Technique of Piecewise Uniform Mesh [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 The objective of my research is to establish facts and determine their significance. A new ε-convergent piecewise uniform mesh has been produced, by deriving a hybrid technique to find out the extent of subdomains (τ) of the singular boundary layers that
Rafiq Muhammad
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Boundary Value Problems, 2011 This paper is concerned with the structure of the weak entropy solutions to two-dimension Riemann initial-boundary value problem with curved boundary.
Tao Pan, Huazhou Chen
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Mathematical Modelling and Analysis, 2012 The unique existence of classical solution of initial–boundary value problem for wave equation with a special integral boundary condition is proved in the work. Classical solution of the problem in analytical form is also found in the article.
Victor Korzyuk +2 more
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