Based on a new approximation method, namely pseudospectral method, a solution for the three order nonlinear ordinary differential laminar boundary layer Falkner-Skan equation has been obtained on the semi-infinite domain. The proposed approach is equipped by the orthogonal Hermite functions that have perfect properties to achieve this goal. This method solves the problem on the semi-infinite do...

ions about.... The ordinary second quantized quantum physics corresponds only to thelowest level infinite primes. 2. The ordinary primes appearing as building blocks of infinite primes at the first level of thehierarchy could be identified as coding for p-adic primes assignable to fermionic and bosonicpartons identified as 2-surfaces of a given space-time sheet. The hierarchy of inf...

ions about.... The ordinary second quantized quantum physics corresponds only to thelowest level infinite primes. 2. The ordinary primes appearing as building blocks of infinite primes at the first level of thehierarchy could be identified as coding for p-adic primes assignable to fermionic and bosonicpartons identified as 2-surfaces of a given space-time sheet. The hierarchy of inf...

ions about.... The ordinary second quantized quantum physics corresponds only to thelowest level infinite primes. 2. The ordinary primes appearing as building blocks of infinite primes at the first level of thehierarchy could be identified as coding for p-adic primes assignable to fermionic and bosonicpartons identified as 2-surfaces of a given space-time sheet. The hierarchy of inf...

in this paper, a method for finding an approximate solution of a class of two-dimensional nonlinear volterra integral equations of the first-kind is proposed. this problem is transformedto a nonlinear two-dimensional volterra integral equation of the second-kind. the properties ofthe bivariate shifted legendre functions are presented. the operational matrices of integrationtogether with the produ...

The paper continues the authors ’ research on evaluation of trigonometric sums an algebraic grid with weights. case arbitrary weight function infinite order is considered. For parameter

The paper deals with the problem of constructing asymptotic solutions for singular perturbed linear differential-algebraic equations periodic coefficients. case multiple roots a characteristic equation is studied. It assumed that limit pencil matrices system has one eigenvalue multiplicity n, which corresponds to two finite elementary divisors and infinite whose greater than 1.A technique findi...

This paper studies the exponential stabilization on infinite dimensional system with impulse controls, where instants appear periodically. The first main result shows that stabilizability of control a periodic feedback law is equivalent to one kind weak observability inequalities. second presents that, in setting discrete LQ problem, solvability an algebraic Riccati-type equation which was buil...

We give an answer to the question as to whether quantifier elimination is possible in some infinite algebraic extensions of Qp (‘infinite p-adic fields’) using a natural language extension. The present paper deals with those infinite p-adic fields which admit only tamely ramified algebraic extensions (so-called tame fields). In the case of tame fields whose residue fields satisfy Kaplansky’s co...

In this paper we present a Nash equilibrium problem of linear quadratic zero-sum dynamic games for descriptor system. We assume that the players give a linear feedback to the game. For the game with finite planning horizon we derive a differential Riccati type equation. For the game with infinite planning horizon we consider an algebraic Riccati type equation. The connection of the game solutio...