889 research outputs found

    Jogurt i kiselo mlijeko

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    U stočarskim krajevima Srbije i Makedonije i na Balkanu uopće od pamtivijeka izrađivalo se kiselo mlijeko i jogurt. Međutim Europa i ostali svijet zna za jogurt tek od prije pedeset godina. U to vrijeme čuveni ruski znanstvenik Mečnikov radio je u Pasterovom institutu u Parizu na problemu starenja i smrti. On se prihvatio teškog i ozbiljnog zadatka da nađe uzročnike starenja ljudi i riješi jedno pitanje koje je ljudima stalno zadavalo brige

    On an integral operator between Bloch-type spaces on the unit ball

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    AbstractWe characterize the boundedness and compactness of the following integral-type operatorIφg(f)(z)=∫01Rf(φ(tz))g(tz)dtt,z∈B, where g is a holomorphic function on the unit ball B⊂Cn such that g(0)=0, and φ is a holomorphic self-map of B, acting from α-Bloch spaces to Bloch-type spaces on B

    Solvability of some classes of nonlinear first-order difference equations by invariants and generalized invariants

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    [[abstract]]We introduce notion of a generalized invariant for difference equations, which naturally generalizes notion of an invariant for the equations. Some motivations, basic examples and methods for application of invariants in the theory of solvability of difference equations are given. By using an invariant, as well as, a generalized invariant it is shown solvability of two classes of nonlinear first-order difference equations of interest, for nonnegative initial values and parameters appearing therein, considerably extending and explaining some problems in the literature. It is also explained how these classes of difference equations can be naturally obtained from some linear second-order difference equations with constant coefficients. [ABSTRACT FROM AUTHOR] Copyright of Electronic Journal of Qualitative Theory of Differential Equations is the property of Bolyai Institute and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.

    On some classes of solvable difference equations related to iteration processes

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    We present several classes of nonlinear difference equations solvable in closed form, which can be obtained from some known iteration processes, and for some of them we give some generalizations by presenting methods for constructing them. We also conduct several analyses and give many comments related to the difference equations and iteration processes

    On the recursive sequence x

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    We investigate the periodic character of solutions of the nonlinear difference equation xn+1=−1/xn+A/xn−1. We give sufficient conditions under which every positive solution of this equation converges to a period two solution. This confirms a conjecture in the work of DeVault et al. (2000)
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