Differentsial'nye Sistemy Na Grafe

Nastoyashchaya kniga predstavlyaet soboy popytku izlozhit' voprosy sushchestvovaniya i edinstvennosti resheniy klassa summiruemykh s kvadratom funktsiy (obobshchennye resheniya) razlichnykh tipov kraevykh i nachal'no-kraevykh zadach dlya uravneniy ellipticheskogo, parabolicheskogo i giperbolicheskogo tipov s raspredelennymi parametrami na geometricheskom grafe: dlya nikh s pomoshch'yu apriornykh otsenok dokazany teoremy sushchestvovaniya i edinstvennosti obobshchennykh resheniy. Koeffitsienty uravneniy zavisyat tol'ko ot prostranstvennoy peremennoy, izmenyayushcheysya na grafe, differentsial'nye uravneniya imeyut predstavleniya, chasto vstrechayushchiesya v matematicheskikh modelyakh, opisyvayushchikh teplovye i volnovye protsessy setepodobnykh promyshlennykh konstruktsiy, a takzhe metabolicheskie protsessy v biologicheskikh sistemakh i protsessy, prokhodyashchie v riteylerskikh setyakh kommercheskikh struktur. Predstavleny rezul'taty issledovaniy avtorov po upravleniyu differentsial'nymi sistemami s raspredelennymi parametrami na grafe i kraevymi usloviyami razlichnykh rodov. Kniga prednaznachena dlya matematikov, mekhanikov, fizikov, inzhenerov, izuchayushchikh setepodobnye sistemy, a takzhe studentov i aspirantov matematicheskikh, fizicheskikh i tekhnicheskikh spetsial'nostey.