3 edition of Nonclassical Equations of the Mixed Type found in the catalog.
Nonclassical Equations of the Mixed Type
October 29, 1992
Written in English
|Series||International Series of Numerical Mathematics|
|The Physical Object|
|Number of Pages||298|
Document Type: Book: All Authors / Contributors: A I Kozhanov. Find more information about: ISBN: solvability of nonclassical boundary-value problems for equations of second order and third order; the mixed problem for second order equations not solved for the time derivative; boundary-value problems for the second order equations of the. It should be noted that there are so much work devoted to the existence of solution for this type of boundary value problems where parabolic equations, hyperbolic equations, and mixed-type.
For higher order nonlinear hyperbolic equations nonclassical boundary value problems of Vallée-Poussin type are studied, and unimprovable in a sense sufficient conditions of solvability, unique. Equations with fractions The concept of fractions and the relations between fractions and other types of numbers, like many abstract mathematical concepts, is not always easy to understand. Bearing this in mind, the authors of this book introduce The Book of Fractions Reading and writing mixed numbers in words 10 F Write the.
This paper deals with Protter problems for Keldysh type equations in ℝ 4. Originally such type problems are formulated by M. Protter for equations of Tricomi type. Now it is well known that Protter problems for mixed type equations of the first kind are ill-posed and for smooth right-hand side functions they have singular generalized solutions. To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own. Solving Equations Video Lesson. Khan Academy Video: Solving Simple Equations; Need more problem types? Try.
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Additional Physical Format: Online version: Kuzʹmin, A.G. (Aleksandr Grigorʹevich). Non-classical equations of mixed type and their applications in gas dynamics.
Non-classical equations of mixed type and their applications in gas dynamics. [Aleksandr G Kuzmin] Document Type: Book: All Authors / Contributors: Aleksandr G Kuzmin. Find more information about: ISBN: OCLC Number. The book is concerned with boundary value problems for differential equations of the mixed elliptic-hyperbolic type.
Current methods for solving boundary value problems and results obtained by these methods over the past 15 years are reviewed. The discussion also covers little-studied direct problems in transonic gas dynamics and stability of steady, unsteady, nonisentropic, and MHD flows of a Cited by: The book is concerned with boundary value problems for differential equations of the mixed elliptic-hyperbolic type.
Current methods for solving boundary value problems and results obtained by. Equations of the Mixed Type compiles a series of lectures on certain fundamental questions in the theory of equations of mixed type.
This book investigates the series of problems concerning linear partial differential equations of the second order in two variables, and possessing the property that the type of the equation changes either on the. Nonclassical Equations of the Mixed Type book of the Mixed Type compiles a series of lectures on certain fundamental questions in the theory of equations of mixed type.
This book investigates the series of problems concerning linear partial differential equations of the second order in two variables, and possessing the property that the type of the equation changes either on the boundary of or inside the considered domain.
Kuz'min A. G., Nonclassical Equations of Mixed Type and Their Applications to Gas Dynamics [in Russian],Leningrad (). Google Scholar. Existence of solutions of the first boundary-value problem for the third order equations of mixed type in unbounded domain.
Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis: Proceedings of the International Conference, Samarkand, Uzbekistan (pp.
19–26). This volume deals with first and second order complex equations of hyperbolic and mixed types. Various general boundary value problems for linear and quasilinear complex equations are investigated in detail.
To obtain results for complex equations of mixed types, some discontinuous boundary value problems for elliptic complex equations are discussed. Mixed complex equations are included in the. Boundary value problems for mixed type equations and equations with changing time direction are studied.
Approximate solutions for every problem are constructed with the help of a special basis. Global a priori estimates are established in the domain. Our theory is a substantial extension of the classical theory by P.
Hess and T. Kato (, Comm. Partial Differential Equations5, –). In obtaining our main results we must give a number of new results on the continuous dependence of the principal eigenvalue of a second order linear elliptic boundary value problem with respect to the.
Abstract. Initial and mixed (initial boundary) value problems for the system of partial differential equations ∂ 2 u/∂t 2 +Δu−λ graddiv u = 0 with real parameter λ are considered.
Some explicit formulas for solutions of the problems are derived. This paper investigates a high even-order nonclassical differential equation with a spectral parameter.
We proved that this equation has a countable system of nontrivial solutions if spectral param. This volume deals with first and second order complex equations of hyperbolic and mixed types.
Various general boundary value problems for linear and quasilinear complex equations are investigated in detail. To obtain results for complex equations of mixed types, some discontinuous boundary value problems for elliptic complex equations are discusse.
Journals & Books; Help; Nonlinear Analysis. Supports open select article Attractors for nonclassical diffusion equations with dynamic boundary conditions Lee, Vu Manh Toi.
Article Download PDF. Article preview. select article Existence of global solutions to nonlinear mixed-type functional differential equations. nonclassical linear volterra equations of the first kind Download nonclassical linear volterra equations of the first kind or read online here in PDF or EPUB.
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Gellerstedt Type Directional Derivative Problem for an Equation of the Mixed Type with a Spectral Parameter A. Polosin Pages Partial Differential Equations. This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem.
Here, we will discuss mixed random variables. These are random variables that are neither discrete nor continuous, but are a mixture of both. In particular, a mixed random variable has a continuous part and a discrete part.
Thus, we can use our tools from previous chapters to analyze them. Nonclassical problems for pseudoparabolic and pseudohyperbolic equations. Uniqueness and stability estimate of solution to a local three-point problem for a pseudoparabolic equation.
Stability and uniqueness of solution to a mixed problem for a parabolic equation. This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of.
New to the Second EditionMore than 1, pages with over 1, new first- second- third- fourth- and higher-order nonlinear equations with solutionsParabolic, hyperbolic, elliptic, and other systems of equations with solutionsSome exact methods and transformationsSymbolic and numerical methods for solving nonlinear PDEs with Maple Mathematica.
Partial Differential Equations Application of the finite integral transform method to solving a mixed problem with integro-differential conditions for a nonclassical equation .