On existence of solutions of a neutral differential equation with deviation argument (Q847025)
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scientific article; zbMATH DE number 5668735
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On existence of solutions of a neutral differential equation with deviation argument |
scientific article; zbMATH DE number 5668735 |
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On existence of solutions of a neutral differential equation with deviation argument (English)
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11 February 2010
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By replacing the neutral differential equation \[ \begin{alignedat}{2} y'(t)&=f\left(t,Y(H(t), y'(h(t))\right),&&\quad y(0)=0 \text{to} x(t)&=f\left(t,\int_0^{H(t)} x(s)\,ds, x(h(t))\right),&&\quad t\in\mathbb R_+, \end{alignedat} \] the author is able to show that at least one solution exists under different sets of conditions. One example is given to illustrate one of his theorems.
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