Recent Advances in Differential Equations
Published on 10. May 2014
462 pages
978-1-4832-7391-4 (ISBN)
Description
Recent Advances in Differential Equations contains the proceedings of a meeting held at the International Center for Theoretical Physics in Trieste, Italy, on August 24-28, 1978 under the auspices of the U.S. Army Research Office. The papers review the status of research in the field of differential equations (ordinary, partial, and functional). Both theoretical aspects (differential operators, periodic solutions, stability and bifurcation, asymptotic behavior of solutions, etc.) and problems arising from applications (reaction-diffusion equations, control problems, heat flow, etc.) are discussed. Comprised of 33 chapters, this book first examines non-cooperative trajectories of n-person dynamical games and stable non-cooperative equilibria, followed by a discussion on the determination and application of Vekua resolvents. The reader is then introduced to generalized Hopf bifurcation; some Cauchy problems arising in computational methods; and boundary value problems for pairs of ordinary differential operators. Subsequent chapters focus on degenerate evolution equations and singular optimal control; stability of neutral functional differential equations; local exact controllability of nonlinear evolution equations; and turbulence and higher order bifurcations. This monograph will be of interest to students and practitioners in the field of mathematics.
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Roberto Conti
Recent Advances in Differential Equations
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03/1982
Academic Press
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Content
¿ContributorsPrefaceNoncooperative Trajectories of n-Person Dynamical Games and Stable Noncooperative EquilibriaProcessus de Contrôle avec Contrôle InitialDetermination and Application of Vekua ResolventsGeneralized Hopf BifurcationPerturbation of Linear Differential Equations by a Half-Linèar Term Depending on a Small ParameterOn Some Cauchy Problems Arising in Computational MethodsComparison Results and Critically in Some Combustion ProblemsBoundary Value Problems for Pairs of Ordinary Differential OperatorsSemilinear Elliptic Equations at Resonance: Higher Eigenvalues and Unbounded NonlinearitiesCountable Systems of Ordinary Differential EquationsThe Role of the Structural Operator and the Quotient Space Structure in the Theory of Hereditary Differential EquationDegenerate Evolution Equations and Singular Optimal ControlCommutative Linear Differential OperatorsApproximations of Delays by Ordinary Differential EquationsLinear Stieltjes Integro-Differential EquationsA Critical Study of Stability of Neutral Functional Differential EquationsNonlinear Perturbations of Linear Problems with Infinite Dimensional KernelComparison Results for Reaction-Diffusion EquationsOn the Synthesis of Solutions of Integral EquationsLocal Exact Controllability of Nonlinear Evolution EquationsTopological Degree and the Stability of a Class of Volterra Integral EquationsPeriodic Solutions of Some Nonlinear Second Order Differential Equations in Hilbert SpacesOperators of Monotone-Type and Alternative Problems with Infinite Dimensional KernelStability Theory for Countably Infinite SystemsA Nonlinear Hyperbolic Volterra Equation Arising in Heat FlowLinearity and Nonlinearity in the Theory of G-ConvergencePath Integrals and Partial Differential EquationsOn Periodic Solutions of Hamiltonian Systems of Ordinary Differential EquationsSome Results in Functional Integral Equations in a Banach SpaceTurbulence and Higher Order BifurcationsConvergence of Power Series Solutions of p-Adic Nonlinear Differential EquationUniqueness of Periodic Solutions of the Lienard EquationBoundary Stabilizability for Diffusion Processes
