| On the solutions of the functional equation $x(t)+A(t)x(f(t))=F(t)$ when the function $F$ satisfies some special conditions |
| Mirjana Malenica |
Abstract The results of this paper are concerned with the soluiton $x(t)$ of the functional equation $x(t)+A(t)x(f(t))=F(t)$. Using regular summability methods $T$, we derive some necessary and also some sufficient conditions for the $T$-sum $x(t)$ of the series $\sum_{i=0}^{\bb}(- 1)^iF(f^i(t))$ to be a solution of the above mentioned equation under the specific conditions for $F(t)$.
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Keywords: Functional eaution |
MSC: 39B22 |
Pages: 1--5 |
Volume 45 , Issue 1$-$4 , 1993 |
