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Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10872
Abstract: In this article, we have worked toward developing the theory for the inverse coefficient problems on an arbitrary time scale. We considered a general n$$ n $$ th order linear dynamic equation yΔn(t)+∑i=1npi(t)yΔn−i(t)=f(t)$$ {y}^{\Delta^n}(t)+{\sum}_{i=1}^n{p}_i(t){y}^{\Delta^{n-i}}(t)=f(t) $$…
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Keywords:
x0005e;
time;
inverse coefficient;
time scale ... See more keywords
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Published in 2024 at "Mathematics"
DOI: 10.3390/math12172629
Abstract: This paper is concerned with finding solutions to free-boundary inverse coefficient problems. Mathematically, we handle a one-dimensional non-homogeneous heat equation subject to initial and boundary conditions as well as non-localized integral observations of zeroth and…
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Keywords:
inverse;
problem;
time;
inverse coefficient ... See more keywords