Recent Advances in Differential Equations
- 1st Edition - January 28, 1981
- Imprint: Academic Press
- Editor: Roberto Conti
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 3 7 7 0 - 1
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 7 3 9 1 - 4
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… Read more
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Request a sales quoteRecent 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.
Contributors
Preface
Noncooperative Trajectories of n-Person Dynamical Games and Stable Noncooperative Equilibria
Processus de Contrôle avec Contrôle Initial
Determination and Application of Vekua Resolvents
Generalized Hopf Bifurcation
Perturbation of Linear Differential Equations by a Half-Linèar Term Depending on a Small Parameter
On Some Cauchy Problems Arising in Computational Methods
Comparison Results and Critically in Some Combustion Problems
Boundary Value Problems for Pairs of Ordinary Differential Operators
Semilinear Elliptic Equations at Resonance: Higher Eigenvalues and Unbounded Nonlinearities
Countable Systems of Ordinary Differential Equations
The Role of the Structural Operator and the Quotient Space Structure in the Theory of Hereditary Differential Equation
Degenerate Evolution Equations and Singular Optimal Control
Commutative Linear Differential Operators
Approximations of Delays by Ordinary Differential Equations
Linear Stieltjes Integro-Differential Equations
A Critical Study of Stability of Neutral Functional Differential Equations
Nonlinear Perturbations of Linear Problems with Infinite Dimensional Kernel
Comparison Results for Reaction-Diffusion Equations
On the Synthesis of Solutions of Integral Equations
Local Exact Controllability of Nonlinear Evolution Equations
Topological Degree and the Stability of a Class of Volterra Integral Equations
Periodic Solutions of Some Nonlinear Second Order Differential Equations in Hilbert Spaces
Operators of Monotone-Type and Alternative Problems with Infinite Dimensional Kernel
Stability Theory for Countably Infinite Systems
A Nonlinear Hyperbolic Volterra Equation Arising in Heat Flow
Linearity and Nonlinearity in the Theory of G-Convergence
Path Integrals and Partial Differential Equations
On Periodic Solutions of Hamiltonian Systems of Ordinary Differential Equations
Some Results in Functional Integral Equations in a Banach Space
Turbulence and Higher Order Bifurcations
Convergence of Power Series Solutions of p-Adic Nonlinear Differential Equation
Uniqueness of Periodic Solutions of the Lienard Equation
Boundary Stabilizability for Diffusion Processes
- Edition: 1
- Published: January 28, 1981
- Imprint: Academic Press
- No. of pages: 462
- Language: English
- Paperback ISBN: 9781483237701
- eBook ISBN: 9781483273914
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