Примери за използване на Value problems на Английски и техните преводи на Български
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Differential equations and boundary value problems.
Boundary value problems for 2nd order ordinary differential equations.
Differential Equations with Boundary Value Problems.
Reports on methods of solving nonlinear boundary value problems for partial differential equations, on a theoretical and functional analysis basis.
A Course in Differential Equations with Boundary Value Problems.
The work of Valentina Borok andher school on boundary value problems in layers forms an important chapter in the general theory of partial differential equations.
Applied Partial Differential Equations with Boundary Value Problems.
His research during this period continued on boundary value problems, but also included advances in mathematical physics, differential equations, and approximations.
He is famed for solving a variety of boundary value problems.
His work on boundary value problems on differential equations is remembered because of what is called today Sturm-Liouville theory, which is used in solving integral equations.
Also in 1969 he published The weak Newton method and boundary value problems.
And then submitted his thesis in 1917 on boundary value problems for linear differential equations.
It covers topics such as: vectors and matrices; Fourier series;boundary value problems;
It is also shown that this procedure can be applied to a class of two point boundary value problems containing the Euler- Lagrange equation for simple variational problems and most second order ordinary differential equations.
These ideas in the main concern generalised solutions of non-classical boundary value problems.
His research concentrated on asymptotic expansions,boundary value problems, and Sturm- Liouville type problems but his thesis advisor Eliakim Moore appears to have been a less influential guide to Birkhoff than was Poincaré.
Among the topics he considered were elasticity, geometrical optics,hydrodynamics and boundary value problems.
In the following year she published On some boundary value problems in the theory of the non-uniform supersonic motion of an aerofoil in which she gives rigorous proofs of methods to find the velocity potential due to a two-dimensional airfoil in a supersonic stream whose shape and motion are given.
Another major text which he published was Mixed boundary value problems in potential theory in 1966.
Some of his later papers examine numerical methods for factorising polynomials,for solving elliptic partial differential equations, and methods for treating singularities in boundary value problems.
The book deals with, among other topics, Laplace 's equation,mixed boundary value problems, the wave equation, and the heat equation.
The book concludes with chapters which bring together many results from Sneddon's own papers on boundary value problems in elasticity.
With both elliptic and hyperbolic regions,to prove a striking new theorem for boundary value problems for partial differential equations.
It was developed during several decades and was seen as a universal tool with which it was possible to solve the majority of boundary value problems of physics.
It investigated in detail Cauchy-type integrals which played an important role in boundary value problems in the theory of functions of a complex variable.
In one of these collaborations with Enrico Magenes, they were investigating inhomogeneous boundary problems for elliptic equations andinhomogeneous initial-boundary value problems for parabolic and hyperbolic evolution equations.
While working in Moscow,Sobolev built on the standard variational method for solving elliptic boundary value problems by introducing these Sobolev function spaces.
Starting in the late 1960s, Valentina began a series of papers that lay the foundations for the theory of local andnon-local boundary value problems in infinite layers for systems of partial differential equations.
Together they investigated inhomogeneous boundary problems for elliptic equations andinhomogeneous initial-boundary value problems for parabolic and hyperbolic evolution equations.
He published On the Navier- Stokes initial value problem in 1962 in which he gave a careful and readable account of the initial-value problem for the Navier- Stokes system.