Cauchy Problem with Subcritical Nonlinearity

Inhomogeneous Two-Parameter Abstract Cauchy Problem

The Cauchy–nicoletti Problem with Poles

The Cauchy–Nicoletti boundary value problem for a system of ordinary differential equations with pole-type singularities is investigated. The conditions of the existence, uniqueness, and nonuniqueness of a solution in the class of continuously differentiable functions are given. The classical Banach contraction principle is combined with a special transformation of the original problem. Introdu...

Lectures on Cauchy Problem

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A series solution of the Cauchy problem for the generalized d-dimensional Schrödinger equation with a power-law nonlinearity

Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...