Results 31 to 40 of about 9,830,689 (286)
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 In this paper the unique solvability and smoothness of generalized solution of a nonlocal boundary value problem with constant coefficients for the multidimensional mixed type equation of the first kind in Sobolev spaces $W_{2}^{l }(Q)$, ($2\le l $ is ...
Sirojiddin Z Dzhamalov
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On global attractivity of solutions of a functional-integral equation
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
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On the Theory of Mixed-Type Equations
Journal of Mathematical Sciences, 2005 The authors review different well-posed boundary-value problems for mixed-type equations as: the Chaplygin equation \(K(y){\partial^2 u\over\partial x^2}+ {\partial^2 u\over\partial y^2}= 0\), where the function \(K(y)\) is positive for \(y> 0\) and negative for \(y< 0\); the Tricomi equation \(y{\partial^2 u\over\partial x^2}+ {\partial^2u\over ...
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A Transport Equation of Mixed Type
Journal of Differential Equations, 1998 The following problem arising from statistical physics is studied \[ Lu= xu_y- yu_x+ \Biggl(- u_{xx}+{x^2\over 4} u-{1\over 2}u\Biggr)= f, \] \[ u(x,1)= g(x),\quad x0. \] Existence and uniqueness of the solution \(u(x,y)\), \(x\in \mathbb{R}\), \(y\in [-1,1]\), are proved for a suitable choice of functional space for the given data \(f\) and \(g\) by ...
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 A nonlocal problem for mixed type equation with a singular coefficient and the spectral parameter is formulated in the field, which hyperbolic part is vertical half-strip and elliptic part is rectangle.
Anton A Abashkin
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Oscillation properties for a scalar linear difference equation of mixed type [PDF]
Mathematica Bohemica, 2016 The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type \Delta x(n)+\sum_{k=-p}^qa_k(n)x(n+k)=0,\quad n>n_0, where $\Delta x(n)=x(n+1)-x(n)$ is the difference operator and $\{a_k(n)\}$ are ...
Leonid Berezansky, Sandra Pinelas
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Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 We consider the modeling multidimensional hyperbolic-parabolic equation in the cylindrical area of Euclidean space and formulate the mixed problem with non-homogeneous boundary conditions for it.
Serik Aimurzaevich Aldashev
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Mathematics, 2023 In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional ...
Kandhasamy Tamilvanan +3 more
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On a class of stochastic integral equations of mixed type
Information and Control, 1977 In this paper, the concept of a random contractor is used to investigate the existence and uniqueness of solutions of stochastic integral equations of mixed type in the general form of x(t; ω) = h(t; ω) + ∫t0q(t, s, x(s; ω); ω) ds + ∫∞0 r(t, s, x(s; ω); ω) ds, t ⩾ 0, where ((Ω,%plane1D;49C;,P)) is a complete probability space. Both of the integrals are
Arthur C. H. Lee, William J. Padgett
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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