22-54 Messoud Efendiev, Vitali Vougalter

On the solvability of some systems of integro-differential equations with transport and concentrated sources (176K, pdf) Oct 6, 22

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. The article is devoted to the existence of solutions of a system of integro-differential equations involving the drift terms in the case of the normal diffusion and the influx/efflux terms proportional to the Dirac delta function. The proof of the existence of solutions is based on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains. We emphasize that the study of the systems is more difficult than of the scalar case and requires to overcome more cumbersome technicalities.

Files: 22-54.src( 22-54.keywords , valdtrs.pdf.mm )