. . , n.A great deal of recent attention has been given to boundary value problems for ordinary differential equations subject to nonlocal boundary conditions in the form of integral boundary conditions. Results in many of these papers have involved a great variety of methods including Krasnosel...
Get PDF (619K) The boundary integral equation method (BIEM) is used to solve three-dimensional potential flow problems in porous media. The problems considered here are time dependent and have a nonlinear boundary condition on the free surface. The entire boundary, including the moving free surfa...
Jerri clearly demonstrates how to use integral equations to solve real-world engineering and physics problems. This edition provides precise guidelines to the basic methods of solutions, details more varied numerical methods, and substantially boosts the total of practical examples and exercises. Plus, ...
MPC is widely adopted in controlled drug-delivery applications as an effective approach to deal with large multivariable constrained control problems. The principal function of MPC is to choose the optimal control actions (i.e., insulin infusion quantitates) by repeatedly solving a constrained optimiz...
One can use a Cayley transform to obtain a right half plane solution from an open unit disc solution. Moreover, one can directly use the commutant lifting theorem with the unilateral shift on the appropriatespace determined by the multiplication operator, to arrive at state space solutions to th...
Its purpose is to give developers a shielded environment for testing and integration purposes, and to help avoid problems that might occur while testing PayPal integration solutions on the live site. Before moving any PayPal-based application into production, you should test the application in the ...
In this paper spectral problems for integral systems, associated dual systems and, in particular, Krein strings are investigated. We consider an integral system of the form (1.1) where, with some spectral parameterand measuresdWanddRassociated with non-decreasing functionsW(x) andR(x) on an inte...
Finally, case studies are provided to validate the proposed analytical solutions and to investigate the thermal responses of saturated soils with seasonal thermal loads on the permeable or impermeable surface. The results show that temperature change, excess pore water pressure and displacement all ...
Indeed the study of the Hilbert scheme of lines and of conics is a natural step to tackle with our problems on the density of integral points. The first section of the paper concerns a result, as interesting as easy to be proved, on the arithmetic of Hilbert scheme of lines and of ...
Hardy, G.H., Littlewood, J.E.: Some problems of Diophantine approximation: the lattice-points of a right-angled triangle.(second memoir.). In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, vol. 1, pp. 211–248. Springer (1922) ...