Existence of $\Psi$-bounded solutions for nonhomogeneous Lyapunov matrix differential equations on $R$ [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we give a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation on $\mathbb{R}$.
Aurel Diamandescu
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On $\Psi$-bounded solutions for non-homogeneous matrix Lyapunov systems on $\mathbb{R}$ [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we provide necesssary and sufficient conditions for the existence of at least one $\Psi$-bounded solution on $\mathbb{R}$ for the system $X'=A(t)X +XB(t)+F(t)$, where $F(t)$ is a Lebesgue $\Psi$-integrable matrix valued function on ...
M. S. N. Murty, Grande Suresh Kumar
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$\Psi$-bounded solutions for a Lyapunov matrix differential equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
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Existence of $\Psi$-bounded solutions for linear difference equations on $\mathbb{Z}$ [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper, we give a necessary and sufficient condition for the existence of $\Psi$-bounded solutions for the nonhomogeneous linear difference equation x(n + 1) = A(n)x(n) + f(n) on $\mathbb{Z}$.
Aurel Diamandescu
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Psi-bounded solutions for linear differential systems with Lebesgue Psi-integrable functions on R as right-hand sides [PDF]
Electronic Journal of Differential Equations, 2009 In this paper we give a characterization for the existence of $Psi$-bounded solutions on $mathbb{R}$ for the system $x'=A(t)x + f(t)$, assuming that $f$ is a Lebesgue $Psi$-integrable function on $mathbb{R}$.
Aurel Diamandescu
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A note on the existence of Psi-bounded solutions for a system of differential equations on R
Electronic Journal of Differential Equations, 2008 We prove a necessary and sufficient condition for the existence of Psi-bounded solutions of a linear nonhomogeneous system of ordinary differential equations on R.
Aurel Diamandescu
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Existence of $psi$-bounded solutions for a system of differential equations
Electronic Journal of Differential Equations, 2004 In this article, we present a necessary and sufficient condition for the existence of solutions to the linear nonhomogeneous system $x'=A(t)x + f(t)$. Under the condition stated, for every Lebesgue $Psi$-integrable function $f$ there is at least one $Psi$
Aurel Diamandescu
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Existence of $psi$-bounded solutions for nonhomogeneous linear differential equations
Electronic Journal of Differential Equations, 2007 In this article we present a necessary and sufficient condition for the existence of $psi$-bounded solution on $mathbb{R}$ of the nonhomogeneous linear differential equation $x'=A(t)x+f(t)$.
Pham Ngoc Boi
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Functions of (ϕ,ψ)-bounded variation and its double Walsh-Fourier coefficients
Journal of Classical Analysis, 2023 Summary: In this paper, we have estimated the order of magnitude of double Walsh-Fourier coefficients of functions of \((\phi,\psi)\)-bounded variation in the sense of Vitali and Hardy (see [\textit{F. Móricz} and \textit{A. Veres}, Acta Math. Hung. 117, No. 3, 275--292 (2007; Zbl 1164.42005)]).
Darji, K. N., Vyas, R. G.
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Time-marching based quantum solvers for time-dependent linear differential equations [PDF]
Quantum, 2023 The time-marching strategy, which propagates the solution from one time step to the next, is a natural strategy for solving time-dependent differential equations on classical computers, as well as for solving the Hamiltonian simulation problem on quantum
Di Fang, Lin Lin, Yu Tong
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