Abstract:Розглянуто обернену задачу з iнтегральною умовою перевизначення для слабко нелiнiйно-го ультрапараболiчного рiвняння з невiдомим, залежним вiд часу, множником правої частини цього рiвняння. Знайдено умови, за яких узагальнений розв'язок задачi прямує до нуля при зростаннi часової змiнної.Ключовi слова i фрази: обернена задача, ультрапараболiчне рiвняння, узагальнений розв'я-зок.
“…We note that inverse problems for semilinear parabolic and ultraparabolic equations with one unknown function were investigated, for example, in [14,15] and for a semilinear time fractional telegraph equation in [7].…”
mentioning
confidence: 99%
“…if a(t, t) = 0, t ∈ [0, T ] and the right-hand side of this expression exists. It follows from the definitions of a j (x, t, τ ), (15) and [8,Lemma 1] (where the case of a linear equation was studied) that…”
We find sufficient conditions of the uniqueness of a solution for the inverse problem of determining two continuous minor coefficients in a semilinear time fractional telegraph equation under two integral overdetermination conditions.
“…We note that inverse problems for semilinear parabolic and ultraparabolic equations with one unknown function were investigated, for example, in [14,15] and for a semilinear time fractional telegraph equation in [7].…”
mentioning
confidence: 99%
“…if a(t, t) = 0, t ∈ [0, T ] and the right-hand side of this expression exists. It follows from the definitions of a j (x, t, τ ), (15) and [8,Lemma 1] (where the case of a linear equation was studied) that…”
We find sufficient conditions of the uniqueness of a solution for the inverse problem of determining two continuous minor coefficients in a semilinear time fractional telegraph equation under two integral overdetermination conditions.
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