A theory of latticed plates and shells by G I Pshenichnov PDF

By G I Pshenichnov

ISBN-10: 1615838708

ISBN-13: 9781615838707

This quantity provides the idea of partial differential equations (PDEs) from a contemporary geometric standpoint in order that PDEs might be characterised by utilizing both means of differential geometry or algebraic geometry. this permits us to acknowledge the richness of the constitution of PDEs. It provides, for the 1st time, a geometrical conception of non-commutative (quantum) PDEs and provides a common program of this conception to quantum box concept and quantum supergravity

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Extra resources for A theory of latticed plates and shells

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The grid approximation of these functions guarantees a high accuracy of results on rather sparse grids. 2) may not only be differential operators, but also more general operators. 1a. Precise solution of a non-linear differential equation with partial derivatives. 9) where a, b are constants. We introduce two equations (2au1 + bxy)du dui1/dx+ Idx 4 byui (2au22 + + bxy)du y)du2/dy + - bxu2 = f{x,y) + + qi(x), = -f{x, y) + q2(y). Having equated these equations' solutions [19] we determine function f(x,y).

7) as well. The theorem is proved. 8) on the solutions. 2 Merits of the method In the method proposed here, the formation of the auxiliary problems may be carried out in infinitely many ways. The nonuniqueness of the decomposition of the original problem is a consequence of two causes. The first consists in the arbitrariness of the choice of the operators La,, which may be one-dimensional as well as multidimensional, and, moreover, may contain terms not included in the operators L, of the original problem.

76) takes the form « = \Xi(l + P)-xAv-P) •ifo-/») + X7(ri + 0) + X7(ri-P)]tan. y>. 78) are insufficient to assume the calculation model's geometrical stability. To achieve this we can supplement conditions (1-78) with conditions such that u = v = 0 with f) = const (and obtain Xi = X2 = 0).

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A theory of latticed plates and shells by G I Pshenichnov


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