This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics. The authors expound the recent result on the generalized eigen-value problem, the perturbation method, Schmidt's pseudo-inversion for regularization of linear and nonlinear problems in the branching theory and group methods in bifurcation theory. The book covers regular iterative methods in a neighborhood of branch points and the theory of differential-operator equations with a non-invertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods.
High-Temperature Cuprate Superconductors provides an up-to-date and comprehensive review of the properties of these fascinating materials. The essential properties of high-temperature cuprate superconductors are reviewed on the background of their theoretical interpretation. The experimental results for structural, magnetic, thermal, electric, optical and lattice properties of various cuprate superconductors are presented with respect to relevant theoretical models. A critical comparison of various theoretical models involving strong electron correlations, antiferromagnetic spin fluctuations, phonons and excitons provides a background for understanding of the mechanism of high-temperature superconductivity. Recent achievements in their applications are also reviewed. A large number of illustrations and tables gives valuable information for specialists. A text-book level presentation with formulation of a general theory of strong-coupling superconductivity will help students and researches to consolidate their knowledge of this remarkable class of materials.
Nikolay Punin (1888-1953) was the most articulate Russian/Soviet art critic of the 1920s. He strongly advocated Constructivism, an avant-garde impulse that favored mechanomorphic abstraction and proclaimed a movement to bring art into the center of popular life. In the United States, he is perhaps best remembered for his love affair with Anna Akhmatova, one of the great poets of the twentieth century. This volume presents the first English translation of ten diary notebooks that Punin wrote between 1915 and 1936, as well as selections from his earlier (1904-1910) and later (1941-1946) diaries and some thirty notes and letters relating to his affair with Anna Akhmatova. These materials offer a rare glimpse into the life of art and artists in Russia. They also present vivid scenes from the 1905 Revolution, World War I, the 1917 Revolutions, World War II, and Stalinist oppression through the reflections of a talented man, who, unlike many of his generation, lived to tell the tale.
This volume provides a comprehensive introduction to the modern theory of differential-operator and kinetic models including Vlasov-Maxwell, Fredholm, Lyapunov-Schmidt branching equations to name a few. This book will bridge the gap in the considerable body of existing academic literature on the analytical methods used in studies of complex behavior of differential-operator equations and kinetic models. This monograph will be of interest to mathematicians, physicists and engineers interested in the theory of such non-standard systems.
23rd of February [1923] . . . .It is also possible that there is no other love than animal love, or that horribly peaceful brotherly love. If only it were simpler. Romanticism will never fade away. And so I plod along, to put it simply. But my nerves are scattered across the sky in a fruitless fever. Good Lord, the burden! Pull my life together. I despair of doing so myself. If only I had lived without biography, in work and my essays. That would have been better (biography destroys). Does a Nekrasov-Mayakovsky still reside in each of us? An. [Anna Akhmatova], I love you nevertheless. I simply love you. I love you like Galya [Punin's wife], and you too will be mistress of my house, a little more original than Galya, but therefore also unfaithful...Only you are not to blame. You covered everything with your sufferings long ago. Go, Warm Intercessor, and give her peace, bless her from your height (cold and empty, like the sky between the stars), bless her head, which I so loved to hold in my hands, which I would have held in my hands forever. If there were such a thing as forever. Be gentle with her, Lord, as we cannot. Why is it so painful, because of what?
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