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Displaying similar documents to “Global existence and boundedness for quasi-variational systems.”

On the Volterra integral equation with weakly singular kernel

Stanisław Szufla (2006)

Mathematica Bohemica

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We give sufficient conditions for the existence of at least one integrable solution of equation x ( t ) = f ( t ) + ∫ 0 t K ( t , s ) g ( s , x ( s ) ) d s . Our assumptions and proofs are expressed in terms of measures of noncompactness.

Hartman-Wintner type criteria for half-linear second order differential equations

Zuzana Pátíková (2007)

Mathematica Bohemica

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We establish Hartman-Wintner type criteria for the half-linear second order differential equation r ( t ) Φ ( x ' ) ' + c ( t ) Φ ( x ) = 0 , Φ ( x ) = | x | p - 2 x , p > 1 , where this equation is viewed as a perturbation of another equation of the same form.