… part of the material protected by this copyright notice may be reproduced or utilized in any
form or by any means, electronic or mechanical, … in sufficient detail problems and methods con…

… Equations of this form are frequently found in problems of mechanics of continua (cf. the ex…
solutions of partial differential equations which are of elliptic type in one part of the plane and …

… great scientists to apply the new ideas of the calculus to certain problems in mechanics, such
… When part of an equilibrium curve is dashed it means the corresponding equilibrium points …

… problem is firstly stated in its mechanical frame. Then the mathematical model is set up,
emphasizing on the one hand the physical magnitude playing the part of … , when applied. Another …

… in this part is the Poincaré-Bendixson annulus region theorem. The presentation of this
part … When physical problems are described by means of differential equations, the initial …

… problems that lead to partial differential equations, the classification and characterization of
equations and problems … of the numerical finite difference and finite element methods, it has …

… of problems in mechanics by appeal to the theory of partial … equations in applied mechanics,
with applications in the … become an integral part of modern continuum mechanics. These …

… to solve physical problems. To cover the full (ever expanding) … courses in applied mathematics
with numerics, basic fluid mechanics, … A major part of applied mathematics is devoted to …

… Indeed, they are so important in both pure and applied mathematics that we will devote this
and … Taking real parts, we find that the solution of the initial value problem for dxdt = Ax with …

… theory of shells, do not apply. With the introduction of the deformation'of elongation w* of a
normal element of the shell, all the six components … the mechanical significance of the problem…