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International Journal of Mathematical Education in Science and Technology, 2011
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations based on the factorization of the differential operator. The approach is elementary, we only assume a basic knowledge of calculus and linear algebra.
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We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations based on the factorization of the differential operator. The approach is elementary, we only assume a basic knowledge of calculus and linear algebra.
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International Journal of Mathematical Education in Science and Technology, 2015
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator. The approach is elementary, we only assume a basic knowledge of calculus and linear algebra. In particular, we avoid the use of distribution theory, as well
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We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator. The approach is elementary, we only assume a basic knowledge of calculus and linear algebra. In particular, we avoid the use of distribution theory, as well
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1998
The authors extend the method of quasilinearization to the two-point boundary value problem for second-order impulsive differential equations \[ x{''}(t)=f(t,x(t)), \quad t_k < t < t_{k+1}, \;k = 0,\dots,m, \tag{1} \] \[ x(0) = a, \quad x(1) = b, \tag{2} \] \[ \Delta x(t_k) = u_k, \quad k = 1,\dots,m, \tag{3} \] \[ \Delta x^{'}(t_k) = v_k (x(t_k ...
Doddaballapur, Vidya, Eloe, Paul W.
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The authors extend the method of quasilinearization to the two-point boundary value problem for second-order impulsive differential equations \[ x{''}(t)=f(t,x(t)), \quad t_k < t < t_{k+1}, \;k = 0,\dots,m, \tag{1} \] \[ x(0) = a, \quad x(1) = b, \tag{2} \] \[ \Delta x(t_k) = u_k, \quad k = 1,\dots,m, \tag{3} \] \[ \Delta x^{'}(t_k) = v_k (x(t_k ...
Doddaballapur, Vidya, Eloe, Paul W.
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New stability results of generalized impulsive functional differential equations
Science China Information Sciences, 2021Chao Liu +4 more
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, 1990 Cancer treatment and survivorship statistics, 2022
Ca-A Cancer Journal for Clinicians, 2022Kimberly D Miller +2 more
exaly
Dichotomies for linear periodic differential equations with impulses
, 1989N. Milev, D. Bainov
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