The nonlocal problem for the differential-operator equation of the even order with the involution [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2018 In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij +3 more
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On identity for eigenvalues of second order differential operator equation [PDF]
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azad Bayramov, Zerrin Oer, Oya Baykal
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Algebraic and differential operator equations [PDF]
Linear Algebra and its Applications, 1988 Let H be a complex separable Hilbert space and let L(H) be the algebra of all bounded linear operators on H. The boundary value problem (1) \(X^{(n)}+A_{n-1}X^{(n-1)}+...+A_ 0X=0\), (2) \(EX(b)-X(0)F=G\), where \(A_ i,E,F,G\in L(H)\) and b is a positive real number is considered.
Jódar, Lucas
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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Advances in Difference Equations, 2020 On this paper, for an arbitrary order operator-differential equation with the weight e − α t 2 , α ∈ ( − ∞ , + ∞ ) $e^{\frac{-\alpha t}{2}}, \alpha \in (-\infty ,+ \infty )$ , in the space W 2 n + m ( R + ; H ) $W^{n+m}_{2}(R_{+};H)$ , we attain ...
Nashat Faried +2 more
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Neutral Operator and Neutral Differential Equation
Abstract and Applied Analysis, 2011 In this paper, we discuss the properties of the neutral operator (Ax)(t)=x(t)−cx(t−δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of ...
Jingli Ren, Zhibo Cheng, Stefan Siegmund
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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Hexagonal vs. Rectilinear Grids for Explicit Finite Difference Schemes for the Two-dimensional Wave Equation [PDF]
, 2013 Finite difference schemes for the 2-D wave equation operating on hexagonal grids and the accompanyingnumerical dispersion properties have received little attention in comparison to schemes operating on rectilinear grids.
Stefan Bilbao +3 more
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Optimal control of an abstract evolution variational inequality with application to homogenized plasticity [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 The paper is concerned with an optimal control problem governed by a state equation in form of a generalized abstract operator differential equation involving a maximal monotone operator.
Hannes Meinlschmidt +2 more
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