Bounded Solutions
General solution to a higher order linear difference equation and existence of bounded solutions
... In [] we presented some of our old results related to equation () for the case k = , which had been presented at some talks and/or conferences during the last decade. Some of them seem folklore, but there are some ...
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1. A Note on $\Psi$-Bounded Solutions for Non-homogeneous Matrix Difference Equations
... Ψ-bounded solutions for system of difference equations were developed by Han and Hong [9], Diamandescu [3, ...of solutions of matrix difference equation ...Ψ-bounded solutions for matrix ...
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6. Bounded Solutions for Fractional Order Differential Equations on the Half-Line
... of bounded solutions for a class of initial value problem on the half-line for fractional differential equations involving Caputo fractional derivative with a nonlinear term depending on the derivative, ...
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On the existence of bounded solutions of nonlinear elliptic systems
... We study the existence of bounded solutions to the elliptic system −∆ p u = f (u, v) +h 1 in Ω, −∆ q v = g(u, v) + h 2 in Ω, u = v = 0 on ∂Ω, non-necessarily potential systems. The method used is a shooting ...
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Bounded solutions for fuzzy integral equations
... of solutions to fuzzy differential and integral equations, have recently been proved by various authors, see [1, 4, 13, 14, 15, 16, 22, ...the solutions of fuzzy differential systems are given in ...
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On the asymptotic analysis of bounded solutions to nonlinear differential equations of second order
... In this paper, we consider two different models of nonlinear ordinary differential equations (ODEs) of second order. We construct two new Lyapunov functions to investigate boundedness of solutions of those nonlinear ...
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Bounded solutions for fuzzy integral equations of fractional order
... In the present paper, we consider the boundedness of solutions of certain fractional fuzzy differential equations as well as fuzzy integral equations. By introducing some differential and integral inequalities, ...
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Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations
... one bounded positive solution ...a bounded positive solution of (1) and for all λ ∈ (0,λ ∗ ), set v = (( p − 1)/(p − 1 − m))u (p − 1 − m)/(p − 1) ...
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Bounded solutions for the nonlinear wave equation
... We investigate the number of periodic weak solutions for the wave equation with nonlinearity decaying at the origin. We get a theorem which shows the existence of a bounded weak solution for this problem. ...
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Bounded solutions of delay dynamic equations on time scales
... Remark In our example of equation () with bounded and vanishing solution, the grain- iness μ(t) plays an important role. Roughly speaking, ‘the bigger’ the graininess will be, ‘the harder’ it will be to ...
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Bounded and periodic solutions to the linear first order difference equation on the integer domain
... study bounded solutions to equation (), but also on the whole Z ...of solutions to () converging to zero when n → – ∞ as well as when n → + ∞ ...
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Existence and uniqueness of bounded weak solutions for some nonlinear parabolic problems
... The main idea of this paper relies on [, , , , ]. Using Galerkin’s approximation technique, we shall prove the existence and uniqueness of bounded solutions to problem (P) (Theorem . and Theorem ...
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Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis
... of bounded solutions and using the theory of pseudoinverse matrices 5, 8, to investigate, in a relevant space, the existence of solutions bounded on the entire real axis of linear differential ...
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On bounded continuous solutions of the archetypal equation with rescaling
... non-constant) bounded continuous ...of bounded solutions ...[3–6]). Solutions under study may also be bounded by nature, ...to bounded solutions may be considered as a ...
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Bounded and Periodic Solutions of Semilinear Impulsive Periodic System on Banach Spaces
... between bounded solutions and periodic solutions, stability, food limited, and robustness, about impulsive periodic system on finite dimensional spaces see ...
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The truncated Euler–Maruyama method for stochastic differential equations
... However, the linear growth condition is still too restrictive. The authors in [10] pointed out that in general, it is not clear when such moment bounds can be expected to hold for the EM method even when both drift ...
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Discontinuous Quantum Stochastic Differential Equations and The Associated Kurzweil Equations
... of bounded variation on [a, ...of bounded variation on [a, ...are bounded increasing functions, and if for the map g : Ã × [a, b] ⟶sesq(D E) the integral exists ...
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Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains
... on f , we obtain new results on the existence of nontrivial solutions and infinitely many solutions by using the mountain pass theorem and the symmetric mountain pass theorem, respectively. We extend and ...
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Homogeneous Dirichlet condition of an anisotropic degenerate parabolic equation
... a bounded rectangle by using the kinetic formulation which was introduced in ...entropy solutions of equation ...arbitrary bounded domain. Since the entropy solutions defined in [, ] are ...
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Global Analysis of Solutions of a New Class of Rational Difference Equation
... the solutions and oscillation of solution are two such qualitative properties which are very important for applications in many areas such as control theory, mathematical biology, neural networks, ...all ...
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