20.500.12556/RUL-175301 Abstract boundary delay systems and application to network flow This paper investigates the well-posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well-posedness is proved by using the Staffans–Weiss theory. We also establish spectral theory for the associated delay operators and provide conditions for the positivity of the semigroup. metric graph network flow operator semigroup perturbation of a generator transport equation with delay well-posed linear system metrični grafi pretok v omrežju operatorske polgrupe sprememba generatorja transportna enačba z zakasnitvijo dobro zastavljeni linearni sistemi true false true Angleški jezik Slovenski jezik Članek v reviji 2025-10-24 04:34:53 2025-12-15 11:09:20 2025-12-19 04:44:46 0000-00-00 00:00:00 2026 0 0 Str. 119-129 iss. 1 Vol. 49 Jan. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.17 0170-4214 10.1002/mma.70139 254414851 Math_Methods_in_App_Sciences_-_2025_-_Batkai_-_Abstract_Boundary_Delay_Systems_and_Application_to_Network_Flow.pdf Math_Methods_in_App_Sciences_-_2025_-_Batkai_-_Abstract_Boundary_Delay_Systems_and_Application_to_Network_Flow.pdf 1 31A9E66CAB7416201CEA73C857BC8B44 5114e499c8bb3af7e44d85b455777f62b003baa4596f7e88ad23c0173df0a3b9 9af92fec-dc0e-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=224162 https://onlinelibrary.wiley.com/doi/10.1002/mma.70139 1 bd967690-b081-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220748 Fakulteta za gradbeništvo in geodezijo 0 0 0