in this paper, the goursat problem of a general form for a linear partial differential equation is investigated with the help of the riemann function method. some results are given concerning the existence and uniqueness for the solution of the suggested problem.

in this paper, the exp-function method, with the aid of a symbolic computation system such as maple, is applied to the (2+1) -dimensional calogero bogoyavlanskii schiff equation. exact and explicit generalized solitary solutions are obtained in more general forms. the free parameters can be determined by initial or boundary conditions. the method is straightforward and concise, and its applicat...

A function-on-function linear quantile regression model, where both the response and predictors consist of random curves, is proposed by extending classical setting into functional data to characterize entire conditional distribution response. In this paper, a partial approach, analog least squares regression, estimate model. covariance function first used extract basis functions. The extracted...

quantitative analysis of production through evaluation of inputs consumption quantity is of main principles in agricultural policies, which is followed by increasing in production through optimal use of resources. this study has been conducted to estimate different types of production functions in mechanized farms of broiler chicks located in gorgan city. cross-section survey data were gathered...

in this paper, the goursat problem of a third order equation on cases of explicit solvability isinvestigated, with the help of the riemann function. some results and one theorem are given concerning theexistence and uniqueness for the solution of the suggested problem.