Results 221 to 230 of about 289,876 (266)
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Multivalued Differential Equations and Ordinary Differential Equations
SIAM Journal on Applied Mathematics, 1970(E) e F(x, t), where F is upper semicontinuous, from known results in the theory of ordinary differential equations. This will be accomplished by showing that, for any F upper semicontinuous and convex, it is always possible to "approximate" the multivalued differential equation (E) by appropriately chosen ordinary differential equations. This would be
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Set differential equations versus fuzzy differential equations
Applied Mathematics and Computation, 2005The paper is devoted to establish some results on existence, uniqueness and flow invariance for set differential equations, and their connection with fuzzy differential equations. Both types of differential equations are emergent research areas, so the background included in this paper will be appreciated for all people interested in the topic.
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The Mathematical Gazette, 1945
1. We deal with the equation where ψ(ωt) is continuous, periodic in t with period 2π/ω a,
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1. We deal with the equation where ψ(ωt) is continuous, periodic in t with period 2π/ω a,
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On the Eigenvalues of Differential Equations
American Journal of Mathematics, 1951is the t-value satisfying q (t) S. The assumption of the existence of a third derivative, as pointed out by Milne, was unessential to his proof. Titchmarsh [5] gave a simplified proof of (4) retaining all of Milne's conditions, except that concerning the existence of a third derivative.
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geometry of differential equations
Journal of Soviet Mathematics, 1983This paper contains a survey of papers on the geometry of differential equations, which appeared no earlier than 1972, continuing the general survey (RZhMat, 1974, 11A800), and considers in more detail a special cycle of investigations of the geometry of systems of partial differential equations, distinguished by the presence of practical applications.
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1966
Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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Ordinary Differential Equations
2012In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice.
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On the Stability of Differential Equations
SIAM Journal on Control, 1972A polynomial is said to be of type $(p_1 ,p_2 ,p_3 )$ relative to any directed line in the complex plane if it has $p_1 $ zeros to the left of, $p_2 $ on, and $p_3 $ to the right of the line.
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Solution of a fractional logistic ordinary differential equation
Applied Mathematics Letters, 2022Juan J Nieto
exaly
2011
This chapter introduces numerical methods that can be used on problems that are too hard to solve by standard algebra, such as finding roots of complicated equations. It demonstrates numerical methods for solving a first-order ordinary differential equations (ODE) with an initial condition.
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This chapter introduces numerical methods that can be used on problems that are too hard to solve by standard algebra, such as finding roots of complicated equations. It demonstrates numerical methods for solving a first-order ordinary differential equations (ODE) with an initial condition.
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