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42,168
ON THE GENERALIZED LINEAR ORDINARY DIFFERENTIAL EQUATION
, 1971
"... On the generalized linear ordinary differential equation ..."
ORDINARY DIFFERENTIAL EQUATIONS Equivalence of Ordinary Differential Equations
, 2005
"... Reduction of nonlinear equations of mathematical physics (the Boussinesq, Korteweg–de Vries, and sine-Gordon equation, etc.) often leads to the integration of an ordinary differential equation of the form [1, pp. 34, 52, 72, 100] y′ ′ = R(x, y)y′2 + 2Q(x, y)y ′ + P (x, y). (1) ..."
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Reduction of nonlinear equations of mathematical physics (the Boussinesq, Korteweg–de Vries, and sine-Gordon equation, etc.) often leads to the integration of an ordinary differential equation of the form [1, pp. 34, 52, 72, 100] y′ ′ = R(x, y)y′2 + 2Q(x, y)y ′ + P (x, y). (1)
Ordinary Differential Equations In Pharmacodynamics
, 2004
"... Mathematical models in pharmacodynamics often describe the evolution of pharmacological processes in terms of systems of linear or nonlinear ordinary differential equations. The objective of this course is to show how one can "read" these equations and draw conclusions from them about the ..."
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Mathematical models in pharmacodynamics often describe the evolution of pharmacological processes in terms of systems of linear or nonlinear ordinary differential equations. The objective of this course is to show how one can "read" these equations and draw conclusions from them about
Ordinary Differential Equations and Integrable Models
- NONPERTURBATIVE QUANTUM EFFECTS 2000
, 2000
"... We review a recently-discovered link between the functional relations approach to integrable quantum field theories and the properties of certain ordinary differential equations in the complex domain. ..."
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Cited by 10 (7 self)
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We review a recently-discovered link between the functional relations approach to integrable quantum field theories and the properties of certain ordinary differential equations in the complex domain.
Ulam stability of ordinary differential equations
- Studia Univ. Babeş-Bolyai Math
"... Abstract. In this paper we present four types of Ulam stability for ordinary differential equations: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability. Some examples and counterexamples are given. 1. ..."
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Cited by 13 (0 self)
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Abstract. In this paper we present four types of Ulam stability for ordinary differential equations: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability. Some examples and counterexamples are given. 1.
Ordinary Differential Equations and Dynamical Systems
, 2010
"... This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem: existence, uniqueness, extensibility, dependence on initial ..."
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Cited by 77 (1 self)
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This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem: existence, uniqueness, extensibility, dependence on initial
New symmetries for ordinary differential equations
- IMA J. App. Math
, 1988
"... In this paper we present a theory for calculating new symmetries for ordinary differential equations. These new symmetries lead to a systematic reduction of the order of a differential equation. Our approach depends on computing the Lie symmetries of a differential equation related to a given differ ..."
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Cited by 6 (0 self)
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In this paper we present a theory for calculating new symmetries for ordinary differential equations. These new symmetries lead to a systematic reduction of the order of a differential equation. Our approach depends on computing the Lie symmetries of a differential equation related to a given
Nonlinear Ordinary Differential Equations
"... These notes are concerned with initial value problems for systems of ordinary dif-ferential equations. Here our emphasis will be on nonlinear phenomena and properties, particularly those with physical relevance. Finding a solution to a differential equation may not be so important if that solution n ..."
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These notes are concerned with initial value problems for systems of ordinary dif-ferential equations. Here our emphasis will be on nonlinear phenomena and properties, particularly those with physical relevance. Finding a solution to a differential equation may not be so important if that solution
ODE: Ordinary Differential Equation
"... Input torque balancing is a well known way to reduce drive speed fluctuations in high speed machinery and combustion engines. This paper introduces a cam-based centrifugal pendulum (CBCP) and a design procedure for it which results in quasi perfect balancing of inertial torques for any drive speed. ..."
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parameters), the cam design is governed by a nonlinear, second-order, explicit differential equation. This differential equation is numerically solved by reformulating it as a nonlinear least squares problem. The design parameters themselves are determined by means of an optimization problem, the goal
Ordinary Differential Equations
"... MATH 670 is an introduction to some important aspects of modern dynamical systems theory, and qualitative theory of differential equations. The main topics are: existence and uniqueness theorems, asymptotic behavior of solutions and stability, linear systems with constant coefficients, Floquet theor ..."
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MATH 670 is an introduction to some important aspects of modern dynamical systems theory, and qualitative theory of differential equations. The main topics are: existence and uniqueness theorems, asymptotic behavior of solutions and stability, linear systems with constant coefficients, Floquet
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42,168
