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Ito ̂ Volterra equation
"... Abstract. This paper studies the convergence rate of solutions of the linear ..."
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Abstract. This paper studies the convergence rate of solutions of the linear
Volterra 2 LotkaVolterra Equation 2M Volterra
"... LotkaVolterra $u_{n}=(\log\tau_{n}/\tau_{n+1})_{t}+1 $ (2) $=1+ \frac{\tau_{n}’}{\tau_{n}}\frac{\tau_{n+1}’}{\tau_{n+1}} $ (3) $ = \frac{\tau_{n+M+1^{\mathcal{T}}nM}}{\tau_{n+1^{\mathcal{T}_{n}}}} $ (4) $D_{t}\tau_{n+1}\cdot\tau_{n}+\tau_{n+M+1}\tau_{nM}\tau_{n+1}\tau_{n}=0 $ (5) ..."
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LotkaVolterra $u_{n}=(\log\tau_{n}/\tau_{n+1})_{t}+1 $ (2) $=1+ \frac{\tau_{n}’}{\tau_{n}}\frac{\tau_{n+1}’}{\tau_{n+1}} $ (3) $ = \frac{\tau_{n+M+1^{\mathcal{T}}nM}}{\tau_{n+1^{\mathcal{T}_{n}}}} $ (4) $D_{t}\tau_{n+1}\cdot\tau_{n}+\tau_{n+M+1}\tau_{nM}\tau_{n+1}\tau_{n}=0 $ (5)
Periodic LotkaVolterra competition equations
 J. Math. Biol
, 1986
"... Abstract. The LotkaVolterra competition equations with periodic coefficients derived from the MacArthurLevins theory of a onedimensional resource niche are studied when the parameters are allowed to oscillate periodically in time. Specifically, niche positions and widths, resource availability an ..."
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Cited by 12 (3 self)
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Abstract. The LotkaVolterra competition equations with periodic coefficients derived from the MacArthurLevins theory of a onedimensional resource niche are studied when the parameters are allowed to oscillate periodically in time. Specifically, niche positions and widths, resource availability
Perturbation Theory for Discrete Volterra Equations
, 2002
"... Fixed point theory is used to investigate nonlinear discrete Volterra equations that are perturbed versions of linear equations. Sucient conditions are established (i) to ensure that stability (in a sense that is de ned) of the solutions of the linear equation implies a corresponding stability of t ..."
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Cited by 10 (3 self)
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Fixed point theory is used to investigate nonlinear discrete Volterra equations that are perturbed versions of linear equations. Sucient conditions are established (i) to ensure that stability (in a sense that is de ned) of the solutions of the linear equation implies a corresponding stability
Strong solutions to stochastic Volterra equations
, 2006
"... In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties of stochastic convolutions are given. The paper provides a sufficient condition for a stochastic convolution to be a strong solution to a sto ..."
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Cited by 8 (6 self)
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In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties of stochastic convolutions are given. The paper provides a sufficient condition for a stochastic convolution to be a strong solution to a
Periodic solutions of discrete Volterra equations
, 2004
"... In this paper, we investigate periodic solutions of linear and nonlinear discrete Volterra equations of convolution or nonconvolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholm’s alternative theorem and for equations of nonconvolut ..."
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Cited by 7 (3 self)
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In this paper, we investigate periodic solutions of linear and nonlinear discrete Volterra equations of convolution or nonconvolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholm’s alternative theorem and for equations of non
Poisson integrators for Volterra lattice equations
 Appl. Num. Math
"... The Volterra lattice equations are completely integrable and possess biHamiltonian structure. They are integrated using partitioned Lobatto IIIAB methods which preserve the Poisson structure. Modified equations are derived for the symplectic Euler and second order Lobatto IIIAB method. Numerical ..."
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Cited by 4 (0 self)
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The Volterra lattice equations are completely integrable and possess biHamiltonian structure. They are integrated using partitioned Lobatto IIIAB methods which preserve the Poisson structure. Modified equations are derived for the symplectic Euler and second order Lobatto IIIAB method. Numerical
Discrete Volterra Equations  Periodic Solutions of Discrete Volterra Equations
, 2002
"... In this paper we investigate periodic solutions of linear and nonlinear discrete Volterra equations of convolution or nonconvolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholm's alternative theorem and for equations of nonc ..."
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In this paper we investigate periodic solutions of linear and nonlinear discrete Volterra equations of convolution or nonconvolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholm's alternative theorem and for equations of non
Results 11  20
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2,292