A class of differential-functional systems. I

On the $c_{0}$-solvability of a class of infinite systems of functional-integral equations

  In this paper, an existence result for a class of infinite systems of functional-integral equations in the Banach sequence space $c_{0}$ is established via the well-known Schauder fixed-point theorem together with a criterion of compactness in the space $c_{0}$. Furthermore, we include some remarks to show the vastity of the class of infinite systems which can be covered by our result. The a...

Numerical Solutions of Special Class of Systems of Non-Linear Volterra Integro-Differential Equations by a Simple High Accuracy Method

A class of differential demand systems

in which the summation is taken over all y1 goods and where wi is the budget share of commodity i, qi is the quantity of good i, pi is the unit price of good i, x is total expenditure, and P is the Divisia price index, implicitly defined as d In P = cj wj.d In pi. The parameter pi is the (constant) marginal budget share of good i; negativity of the substitution effect imposes 7rii < 0. The left...

Existence of bounded solutions of a class of neutral systems of functional differential equations

System of functional differential equations Iterated deviations Lipschitz derivative a b s t r a c t Some results on the existence of bounded solutions together with their first derivatives of a class of neutral systems of functional differential equations with complicated deviations, which extend and unify numerous results in the literature, are proved.

Solving a Class of Partial Differential Equations by Differential Transforms Method

‎In this work, we find the differential transforms of the functions $tan$ and‎ ‎$sec$‎, ‎and then we applied this transform on a class of partial differential equations involving $tan$ and‎ ‎$sec$‎.