Tag: cauchy problem.

In both theoretical and practical research, exact solutions for linear and nonlinear differential equations are crucial. Many studies have focused on discovering a formula for solving second order linear differential equations with variable coefficients. We found the formula for the common solution of the second-order linear differential equation with...

A new transform is constructed, which is called parabolic. By using this transform, existence and stability results can be obtained for singular integro-partial differential equations and also for stochastic ill-posed problems. It is well known that the cauchy problem for elliptic partial differential equations is ill-posed. The question, which...