Results on singular products of the distributions and for natural are derived when the products are balanced so that their sum exists in the distribution space. These results follow the pattern of a known distributional product published by Jan Mikusiński in 1966. The results are obtained in...

In this paper, by considering the Adomian decomposition method, explicit solutions are calculated for partial differential equations with initial conditions. The method does not need linearization, weak nonlinearly assumptions or perturbation theory. The decomposition series analytic solution of...

Two approaches for model modification, or specification search, in structural equation modeling are: releasing constraints (e.g., adding free parameters) and imposing constraints (e.g., deleting free parameters). These two approaches can be considered as "forward search" and "backward search",...

In this study by considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable...

Data collected on the physical, biological or man-made world are often highly correlated with one another, posing the question of whether fewer variables would contain almost as much information. A crude solution is simply to look at the Pearson correlation matrix and omit one of a pair of...

In the model of Funaki and Yamato (1999) the tragedy of the commons can be avoided with pessimistic players, while this does not hold for optimistic players. We propose a new core concept to overcome this puzzle and provide numerical simulations of simple games where the conclusions coincide or...

In this paper, by considering the Adomian decomposition method, explicit solutions are calculated for partial differential equations with initial conditions. The method does not need linearization, weak nonlinearly assumptions or perturbation theory. The decomposition series analytic solution of...

We consider solitary-wave solutions of the generalized Regularized Long-Wave (RLW for short) equation . In this paper by considering the decomposition scheme, we first obtain the exact solitary-wave solutions of the generalized RLW equation for the initial condition without using any classical...

The decomposition method for solving the sine-Gordon equation has been implemented. By using a number of initial values, the explicit and numerical solutions of the equation are calculated in the form of convergent power series with easily computable components. The present method performs...