On Bounded Solutions of a Difference Equation with Jumps of the Operator Coefficient
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DOI: 10.1007/s10958-018-3685-4
Abstract: We study the problem of existence of unique bounded solution of a difference equation with variable operator coefficient in the finite-dimensional Banach space. read more here.
Keywords: operator coefficient; difference equation; bounded solutions;
Bounded Solutions of the Nonlinear Lyapunov Equation and Homoclinic Chaos
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DOI: 10.1007/s11253-019-01685-w
Abstract: We study bounded solutions of a nonlinear Lyapunov-type problem in Banach and Hilbert spaces. Necessary and sufficient conditions for the existence of bounded solutions on the entire axis are obtained under the assumption that the… read more here.
Keywords: solutions nonlinear; bounded solutions; nonlinear lyapunov; homoclinic chaos ... See more keywords
Bounded solutions to the 1-Laplacian equation with a total variation term
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DOI: 10.1007/s11587-018-0425-5
Abstract: In this paper we study the Dirichlet problem for two related equations involving the 1-Laplacian and a total variation term as reaction, namely: with homogeneous Dirichlet boundary conditions on $$\partial \varOmega $$∂Ω, where $$\varOmega $$Ω… read more here.
Keywords: term; solutions laplacian; bounded solutions; total variation ... See more keywords
The Gelfand–Shilov Type Estimate for Green’s Function of the Bounded Solutions Problem
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DOI: 10.1007/s12346-017-0262-z
Abstract: An analogue of the Gelfand–Shilov estimate of the matrix exponential is proved for Green’s function of the problem of bounded solutions of the ordinary differential equation $$x'(t)-Ax(t)=f(t)$$x′(t)-Ax(t)=f(t). read more here.
Keywords: bounded solutions; gelfand shilov; green function; estimate ... See more keywords
Frequency Tests for the Existence and Stability of Bounded Solutions to Differential Equations of Higher Order
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DOI: 10.1134/s106456241806008x
Abstract: To study a vector-matrix differential equation of order n, the method of integral equations is used. When the Lipschitz condition holds, an existence and uniqueness theorem for a bounded solution and its estimates are obtained.… read more here.
Keywords: order; bounded solutions; frequency tests; almost periodic ... See more keywords
Bounded solutions for general time interval BSDEs with quadratic growth coefficients and stochastic conditions
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DOI: 10.1142/s021949371850034x
Abstract: This paper deals with bounded solutions for general time interval one-dimensional backward stochastic differential equations (BSDEs for short) with quadratic growth coefficients and stochastic cond... read more here.
Keywords: bounded solutions; time interval; solutions general; general time ... See more keywords
Existence of Ψ-bounded solutions for sylvester matrix dynamical systems on time scales
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DOI: 10.2298/fil1812209r
Abstract: In this paper, we study the existence criteria for Ψ-bounded solutions of Sylvester matrix dynamical systems on time scales. The advantage of studying this system is it unifies continuous and discrete systems. First, we prove… read more here.
Keywords: bounded solutions; matrix dynamical; time; sylvester matrix ... See more keywords