The Dirichlet and Focal Boundary Value Problems for Higher Order Quasi-halflinear Singular Differential Equations

نویسندگان

  • Ivan Kiguradze
  • T. Chanturia
چکیده

For higher order quasi-halflinear singular differential equations, the Dirichlet and focal boundary value problems are considered. Analogues of the Fredholm first theorem are proved and on the basis of these results optimal in some sense sufficient conditions of solvability of the above-mentioned problems are found. îâäæñéâ. éŽôŽèæ îæàæï çãŽäæ êŽýâãîŽáûîòæãæ ïæêàñèŽîñèæ áæòâîâêùæŽèñîæ àŽêðëèâIJâIJæïŽåãæï àŽêýæèñèæŽ áæîæýèâïŽ áŽ òëçŽèñîæ ïŽïŽäôãîë ŽéëùŽêâIJæ. áŽéðçæùâIJñèæŽ òîâáßëèéæï ìæîãâèæ åâëîâéæï ŽêŽèëàâIJæ, îæï ïŽòñúãâèäâù áŽáàâêæèæŽ Žôêæöêñèæ ŽéëùŽêâIJæï ŽéëýïêŽáëIJæï ëìðæéŽèñîæ ïŽçéŽîæïæ ìæîëIJâIJæ. 2010 Mathematics Subject Classification. 34B16, 34B18.

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تاریخ انتشار 2011