Wildfire risk has globally increased during the past few years due to several factors. An efficient and fast response to wildfires is extremely important to reduce the damaging effect on humans and wildlife. This work introduces a methodology for designing an efficient machine learning system to detect wildfires using satellite imagery. A convolutional neural network (CNN) model is optimized to reduce the required computational resources. Due to the limitations of images containing fire and seasonal variations, an image augmentation process is used to develop adequate training samples for the change in the forest’s visual features and the seasonal wind direction at the study area during the fire season. The selected CNN model (Mob

Nonlinear differential equation stability is a very important feature of applied mathematics, as it has a wide variety of applications in both practical and physical life problems. The major object of the manuscript is to discuss and apply several techniques using modify the Krasovskii's method and the modify variable gradient method which are used to check the stability for some kinds of linear or nonlinear differential equations. Lyapunov function is constructed using the variable gradient method and Krasovskii’s method to estimate the stability of nonlinear systems. If the function of Lyapunov is positive, it implies that the nonlinear system is asymptotically stable. For the nonlinear systems, stability is still difficult even though

This paper aims to find new analytical closed-forms to the  solutions of the nonhomogeneous functional differential equations of the n^th order with finite and constants delays and various initial delay conditions in terms of elementary functions using Laplace transform method. As well as, the definition of dynamical systems for ordinary differential equations is used to introduce the definition of dynamical systems for delay differential equations which contain multiple delays with a discussion of their dynamical properties: The exponential stability and strong stability

La vida literaria española ha visto unos cambios muy importantes después de la guerra civil (1936-1939), ya porque la sociedad se vio afectada mayoritariamente, de modo que la literatura de posguerra se ha concentrado en remontar el ánimo social español.

Blas de Otero (1916-1979) ⁽¹⁾ ha representado una señal muy singular e importante del movimiento poético de los años cuarenta y cincuenta. La poesía de Otero apuntaba el camino social realista de lo sufría su sociedad, en cuanto la dirección general de la literatura española se dirigía hacia lo aceptable en el entorno social.

El localismo en la poesía de Blas de Otero forma un grito social peculiar, de modo que se nota el acercamie

In this paper, the delay integral equations in population growth will be described,discussed , studied and transfered this model to integro-differential equation. At last,we will solve this problem by using variational approach.

Resumen:

        La traducción de los refranes, que son unas sentencias breves, habitualmente, de autor desconocido y lo mismo que el proverbio, aunque en su parte universalizable refleja una experiencia humana, hace referencia en parte particularizante e idiosincrática a una experiencia sin paralelo en la lengua de destino, no es una tarea tan sencilla ni tan fácil como piensan muchas personas, sino al contrario por completo, es algo tan difícil y tan complicado. Por eso, la traducción de los refranes  no es una transferencia de un significado, un párrafo o una frase de un cierto idioma a otro, porque si aceptamos ese concepto, el proceso de traducción de refranes sería muy sencill

Recently, the financial mathematics has been emerged to interpret and predict the underlying mechanism that generates an incident of concern. A system of differential equations can reveal a dynamical development of financial mechanism across time. Multivariate wiener process represents the stochastic term in a system of stochastic differential equations (SDE). The standard wiener process follows a Markov chain, and hence it is a martingale (kind of Markov chain), which is a good integrator. Though, the fractional Wiener process does not follow a Markov chain, hence it is not a good integrator. This problem will produce an Arbitrage (non-equilibrium in the market) in the predicted series. It is undesired property that leads to erroneous conc