A Fundamental Solution of N. Zeilon's Operator

A Fundamental Solution of N. Zeilon's Operator

A Max-plus Dual Space Fundamental Solution for a Class of Operator Differential Riccati Equations

A new fundamental solution semigroup for operator differential Riccati equationsis developed. This fundamental solution semigroup is constructed via an auxiliary finite horizonoptimal control problem whose value functional growth with respect to time horizon is determinedby a particular solution of the operator differential Riccati equation of interest. By exploiting semi-convex...

A Symbolic Construction of the Forward Fundamental Solution of the Wave Operator

A calculus of polyhomogeneous paired Lagrangian distributions , associated to any two cleanly intersecting Lagrangian subman-ifolds, is constructed. The class is given an intrinsic characterisation using radial operators and a symbol calculus is developed. A class of pseudo-diierential operators with singular symbols is developed within the calculus. This is used to give symbolic constructions ...

semi-analytical solution for static and forced vibration problems of laminated beams through smooth fundamental functions method

در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...

On the Solution n-Dimensional of the Product ⊗k Operator and Diamond Bessel Operator

Firstly, we studied the solution of the equation ⊗♦Bu x f x where u x is an unknown unknown function for x x1, x2, . . . , xn ∈ R, f x is the generalized function, k is a positive integer. Finally, we have studied the solution of the nonlinear equation ⊗♦Bu x f x, LΔB kBu x . It was found that the existence of the solution u x of such an equation depends on the condition of f and LΔB kBu x . Mo...