Basic topological structures of the theory of ordinary differential equations

V. Filippov

Displaying similar documents to “Basic topological structures of the theory of ordinary differential equations”

$Σ$ -convergence.

Nguetseng, Gabriel, Svanstedt, Nils (2011)

Banach Journal of Mathematical Analysis [electronic only]

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Some existence results for solutions of differential inclusions with retardations

L. H. Erbe, W. Krawcewicz, Shaozhu Chen (1991)

Annales Polonici Mathematici

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Using the topological transversality method of Granas we prove an existence result for a system of differential inclusions with retardations of the form y'' ∈ F(t,y,y',Φ(y)). The result is applied to the study of the existence of solutions to an equation of the trajectory of an r-stage rocket with retardations.

Are EC-spaces AE(metrizable)?

Carlos Borges (1991)

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The existence of bounded solutions for differential equations in Hilbert spaces

B. Przeradzki (1992)

Annales Polonici Mathematici

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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.