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292
LOTKA–VOLTERRA TYPE EQUATIONS AND THEIR EXPLICIT INTEGRATION
, 1994
"... In the present note we give an explicit integration of some two–dimensionalised Lotka–Volterra type equations associated with simple Lie algebras possessing a representation without branching. ..."
Abstract
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Cited by 1 (1 self)
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In the present note we give an explicit integration of some two–dimensionalised Lotka–Volterra type equations associated with simple Lie algebras possessing a representation without branching.
On Miura Transformations and Volterra-Type Equations Associated with the Adler–Bobenko–Suris Equations
- SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS
, 2008
"... We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler–Bobenko–Suris (ABS) list into the discrete Schrödinger spectral problem associated with Volterra-type equations. We show that the ABS equations correspond to Bäcklund ..."
Abstract
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Cited by 15 (8 self)
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We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler–Bobenko–Suris (ABS) list into the discrete Schrödinger spectral problem associated with Volterra-type equations. We show that the ABS equations correspond to Bäcklund
A HYBRID VOLTERRA-TYPE EQUATION WITH TWO TYPES OF IMPULSES
, 2005
"... We formulate and analyze a hybrid system model that involves Volterra integral operators with multiple integrals and two types of impulsive terms. We give a constructive proof, via an iteration method, of existence and uniqueness of solutions. I. ..."
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We formulate and analyze a hybrid system model that involves Volterra integral operators with multiple integrals and two types of impulsive terms. We give a constructive proof, via an iteration method, of existence and uniqueness of solutions. I.
A Unified Approach to Convergence Analysis of Discretization Methods for Volterra-type Equations
, 1983
"... This paper presents a general convergence analysis of numerical methods for solving ordinary differential equations and non-linear Voltcrra integral and integro-differential equations. The concept of analytic and discrete fundamental forms is introduced. Prolongation and restriction operators reduce ..."
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Cited by 2 (2 self)
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collocation method for solving Volterra integral equations of the second kind. 1.
Identification of Nonlinear Dynamic Systems with Multiple Inputs and Single Output using discrete-time Volterra Type Equations
"... In this article a theoretical framework is presented about the identification of nonlinear dynamic systems with multiple inputs and single output. Basic considerations about discrete-time Volterra type equations are performed. It is shown how measuring equations can be obtained from nonlinear and ..."
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In this article a theoretical framework is presented about the identification of nonlinear dynamic systems with multiple inputs and single output. Basic considerations about discrete-time Volterra type equations are performed. It is shown how measuring equations can be obtained from nonlinear
Approximate Controllability for Systems Governed by Nonlinear Volterra Type Equations
"... Your article is protected by copyright and all rights are held exclusively by Foundation for Scientific Research and Technological Innovation. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to self-archive your work, please use the acc ..."
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Your article is protected by copyright and all rights are held exclusively by Foundation for Scientific Research and Technological Innovation. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to self-archive your work, please use the accepted author’s version for posting to your own website or your institution’s repository. You may further deposit the accepted author’s version on a funder’s repository at a funder’s request, provided it is not made publicly available until 12 months after publication.
Thesis: Numerical Solution of Stiff and Singularly Perturbed Problems for Ordinary Differential and Volterra-type Equations.
, 2005
"... Languages: ..."
BLOW UP OF A CYCLE IN LOTKA-VOLTERRA TYPE EQUATIONS WITH COMPETITION-COOPERATION TERMS AND QUASI-LINEAR SYSTEMS
"... ar ..."
SOLUTION OF VOLTERRA-TYPE INTEGRO-DIFFERENTIAL EQUATIONS WITH A GENERALIZED LAURICELLA CONFLUENT HYPERGEOMETRIC FUNCTION IN THE KERNELS
, 2005
"... The object of this paper is to solve a fractional integro-differential equation involving a generalized Lauricella confluent hypergeometric function in several complex variables and the free term contains a continuous function f (τ). The method is based on certain properties of fractional calculus a ..."
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and the classical Laplace transform. A Cauchy-type problem involving the Caputo fractional derivatives and a generalized Volterra integral equation are also considered. Several special cases are mentioned. A number of results given recently by various authors follow as particular cases of formulas established here.
CONVERGENCE RATES OF THE SOLUTION OF A VOLTERRA–TYPE STOCHASTIC DIFFERENTIAL EQUATIONS TO A NON–EQUILIBRIUM LIMIT
"... Abstract. This paper concerns the asymptotic behaviour of solutions of functional differential equations with unbounded delay to non–equilibrium limits. The underlying deterministic equation is presumed to be a linear Volterra integro–differential equation whose solution tends to a non–trivial limit ..."
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Abstract. This paper concerns the asymptotic behaviour of solutions of functional differential equations with unbounded delay to non–equilibrium limits. The underlying deterministic equation is presumed to be a linear Volterra integro–differential equation whose solution tends to a non
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292
