V. I. Korzyuk, Е. С. Чеб
Abstract
We consider the Goursat problem for a fourth-order linear partial differential equation with the biwave operator. By using the energy inequality method and averaging operators with variable increment, we prove the existence and uniqueness of a strong solution.
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We consider the Goursat problem for a fourth-order linear partial differential equation with the biwave operator. By using the energy inequality method and averaging operators with variable increment, we prove the existence and uniqueness of a strong solution.
Key concepts: Mathematics, Partial differential equation, Uniqueness, Operator (biology), Ordinary differential equation, Order (exchange), Mathematical analysis, Variable (mathematics)