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The generalized solutions of ordinary differential equations in the impulse control problems
1996The purpose of the paper is to obtain a representation of a discontinuous solution for ordinary nonlinear differential equations with an impulse control. The main problem for this class of systems is to find the response of the dynamic system to an impulse control of a \(\square\)-function type.
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Positive solutions of boundary value problems for ordinary differential equations with impulse
1998Using a fixed point theorem for a completely continuous operator in a Banach space with a cone due to \textit{M. A. Krasnoselskij} [Positive solutions of operator equations. Groningen, P. Noordhoff (1964; Zbl 0121.10604)], the authors determine some values of the parameter \(\lambda\) for which there exists at least one positive solution to the ...
Eloe, Paul W., Henderson, Johnny
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Systems of differential equations with implicit impulses and fully nonlinear boundary conditions
Boundary Value Problems, 2013Bevan Thompson
exaly
Ordinary differential equations, transport theory and Sobolev spaces
Inventiones Mathematicae, 1989Ronald DiPerna, P L Lions
exaly
SOLUTION OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS BY
The Quarterly Journal of Mechanics and Applied Mathematics, 1953openaire +2 more sources

