On the Existence in the Sense of Sequences of Stationary Solutions for Some Systems of Non-Fredholm Integro-differential Equations
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DOI: 10.1007/s00009-018-1248-z
Abstract: We prove the existence in the sense of sequences of stationary solutions for some systems of reaction–diffusion type equations in the appropriate $$H^{2}$$H2 spaces. It is established that, under reasonable technical conditions, the convergence in… read more here.
Keywords: stationary solutions; solutions systems; existence sense; sense sequences ... See more keywords
Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian
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DOI: 10.1080/17476933.2023.2293796
Abstract: We study the solvability of certain linear and nonlinear nonhomogeneous equations in one dimension involving the logarithmic Laplacian and the transport term. In the linear case we show that the convergence in $ L^{2}({\mathbb R})… read more here.
Keywords: linear nonlinear; solvability; sense sequences; logarithmic laplacian ... See more keywords