in this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. but we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as legendre ...

hadamard (or complete $cat(0)$) spaces are complete, non-positive curvature, metric spaces. here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. our results extend the standard non-linear ergodic theorems for non-expansive maps on real hilbert spaces, to non-expansive maps on had...

The main objective of this study is to examine the effect sickle energy consumption, renewable energy, and forest area on emission carbon dioxide (CO2) in Morocco. Many studies have abord subject using a different approachs, most which used econometric models such as Vector Autoregressive (VAR) Error Correction Model (ECM) Distributed Lag (ARDL). In study, we opted for Non-linear (NARDL) model....

Following the financial and debt crises in euro area global COVID pandemic, governments supported their economies by increasing borrowing accumulating with ambiguous long-run effects on non-performing loans (NPLs). We empirically investigate determinants of NPLs using quarterly (2003Q1-2020Q2) aggregate data for Greece applying autoregressive distributed lag (ARDL) bounds testing approach. offe...

let $g$ be a non-abelian group and let $z(g)$ be the center of $g$. associate with $g$ there is agraph $gamma_g$ as follows: take $gsetminus z(g)$ as vertices of$gamma_g$ and joint two distinct vertices $x$ and $y$ whenever$yxneq yx$. $gamma_g$ is called the non-commuting graph of $g$. in recent years many interesting works have been done in non-commutative graph of groups. computing the clique...

we study the exponential decay of global solution for an n-dimensional thermo-elasticity systemin a bounded domain of ℜn . by using the multiplier technique and constructing an energy functional welladapted to the system, the exponential decay is proved.

this paper presents approximate analytical solutions for nonlinear oscillators using the multi-step homotopy analysis method (msham). the proposed scheme is only a simple modification of the homotopy analysis method, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. several illustrat...

in this paper, the main results are:a study of the finitely generated mv-algebras of continuous functions from the n-th power of the unit real interval i to i;a study of hopfian mv-algebras; anda category-theoretic study of the map sending an mv-algebra as above to the range of its generators (up to a suitable form of homeomorphism).

This study investigates the symmetry and asymmetry impact of oil price shocks on economic growth for Iraqi economy during 1968-2019. For this purpose, we utilizing Linear Autoregressive Distributed Lag (ARDL) Nonlinear (NARDL).  The linear nonlinear ARDL found that have a positive long-run growth, as F statistics are greater than critical upper bound in all models. Moreover, results NARDL ...