Tag: cauchy problem.

The Formulas for Solution of One Class of Linear Differential Equations of the Second Order with the Variable Coefficients

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...
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Parabolic Transform and Some Ill-posed Problems

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...
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