Analytical solutions of peristatic and peridynamic problems for a 1D infinite rod

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...

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.

On 1D Schrödinger problems allowing polynomial solutions

We discuss the explicit construction of the Schrödinger equations admitting representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has been performed also in higher dimensional problems. PACS numbers: 03.65.-w, 03.65.Ge, 03.65.Ca, 02.90.+p Published in Journal of Physics A: Mathematical an...

Positive Solutions for a Class of Infinite Semipositone Problems

We analyze the positive solutions to the singular boundary value problem −∆u = λ[f(u)− 1/u];x ∈ Ω u = 0; x ∈ ∂Ω, where f is a C function in (0,∞), f(0) ≥ 0, f ′ > 0, lims→∞ f(s) s = 0, λ is a positive parameter, α ∈ (0, 1) and Ω is a bounded region in R, n ≥ 1 with C boundary for some γ ∈ (0, 1). In the case n = 1 we use the quadrature method and for n > 1 we use the method of sub-super solutio...

Analytical Solutions for Infinite Population Genetic Algorithms on Multiplicative Landscape