Results 281 to 290 of about 1,223,903 (308)
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1992
Let us consider the n-th order linear differential equation $$L\left[ y \right] = {y^{\left( n \right)}} + {a_1}{y^{\left( {n - 1} \right)}} + \ldots + {a_{n - 1}}y' + {a_n}y = f$$ where a l, a 2,..., a n, f ∈ C([a,b]) are given.
Gheorghe Micula, Paraschiva Pavel
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Let us consider the n-th order linear differential equation $$L\left[ y \right] = {y^{\left( n \right)}} + {a_1}{y^{\left( {n - 1} \right)}} + \ldots + {a_{n - 1}}y' + {a_n}y = f$$ where a l, a 2,..., a n, f ∈ C([a,b]) are given.
Gheorghe Micula, Paraschiva Pavel
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1993
Consider the linear differential equation $$ u^{(n)} = p(t)u $$ (1.1) where. As a rule we assume that either $$ p(t) \leqslant 0 for t \in R_ + $$ (1.2) or $$ p(t) \geqslant 0 for t \in R_ + . $$ (1.3) A solution of (1.1) is said to be oscillatory if it has infinitely many zeros.
I. T. Kiguradze, T. A. Chanturia
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Consider the linear differential equation $$ u^{(n)} = p(t)u $$ (1.1) where. As a rule we assume that either $$ p(t) \leqslant 0 for t \in R_ + $$ (1.2) or $$ p(t) \geqslant 0 for t \in R_ + . $$ (1.3) A solution of (1.1) is said to be oscillatory if it has infinitely many zeros.
I. T. Kiguradze, T. A. Chanturia
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Linear Stationary Fractional Differential Equations
Fractional Calculus and Applied Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nosov, Valeriy +1 more
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Differential Equations: Linearity vs. Nonlinearity
SIAM Review, 1963Hale, J. K., LaSalle, J. P.
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1999
In this chapter, we shall first explain the existence of solutions of initial value problems for differential equations and then fundamental theorems for linear differential equations in the complex domain. We explain the definition of regular and irregular singularities of linear differential equations, and the behavior of of local solutions near ...
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In this chapter, we shall first explain the existence of solutions of initial value problems for differential equations and then fundamental theorems for linear differential equations in the complex domain. We explain the definition of regular and irregular singularities of linear differential equations, and the behavior of of local solutions near ...
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1998
We denote ri x n matrices by uppercase italic letters, $$ A = \left( {\begin{array}{*{20}{c}} {{a_{11}} \ldots {a_{1n}}} \\ { \vdots \ddots \vdots } \\ {{a_{n1}} \cdots {a_{nn}}} \end{array}} \right) = ({a_{ij}}), $$ where aij E R or C. With the usual definitions of addition and scalar multiplication of matrices, $$ A + B = ({a_{ij}} + {b_ ...
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We denote ri x n matrices by uppercase italic letters, $$ A = \left( {\begin{array}{*{20}{c}} {{a_{11}} \ldots {a_{1n}}} \\ { \vdots \ddots \vdots } \\ {{a_{n1}} \cdots {a_{nn}}} \end{array}} \right) = ({a_{ij}}), $$ where aij E R or C. With the usual definitions of addition and scalar multiplication of matrices, $$ A + B = ({a_{ij}} + {b_ ...
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Linear Stiff Differential Equations
Journal of the Franklin Institute, 1971openaire +2 more sources
LINEAR PARTIAL DIFFERENTIAL EQUATIONS (II)
The Quarterly Journal of Mathematics, 1938openaire +1 more source