Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Website: https://samdiff.ru/~louise
Keywords: hyperbolic equations; boundary value problems; nonlocal conditions; loaded equations.

Subject:

Well-posedness of certain nonlocal problems with integral conditions for hyperbolic equations is proved. Sufficient conditions for the existence and uniqueness of generalized solutions to nonlocal problems for linear, quasilinear and loaded hyperbolic equations in function Sobolev type spaces are obtained.

Main publications:

1. L. S. Pulkina, “Nelokalnaya zadacha s integralnymi usloviyami dlya kvazilineinogo giperbolicheskogo uravneniya”, Matem. zametki, 70:1 (2001), 88–95          ; Math. Notes, 70:1 (2001), 79–85    
2. L. S. Pulkina, “O razreshimosti v $L_2$ nelokalnoi zadachi s integralnymi usloviyami dlya giperbolicheskogo uravneniya”, Differ. uravn., 36:2 (2000), 279–280  ; L. S. Pulkina, “The $L_2$ solvability of a nonlocal problem with integral conditions for a hyperbolic equation”, Differ. Equ., 36:2 (2000), 316–318    
3. Pulkina L. S., “Solution to nonlocal problems of pseudohyperbolic equations”, EJDE, 2014:116 (2014), 1–9 http://ejde.math.txstate.edu/Volumes/2014/116/pulkina.pdf
4. L. S. Pulkina, “Kraevye zadachi dlya giperbolicheskogo uravneniya s nelokalnymi usloviyami I i II roda”, Izv. vuzov. Matem., 2012, № 4, 74–83    ; Russian Math. (Iz. VUZ), 56:4 (2012), 62–69    

Publications in Math-Net.Ru

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Organisations:

• Samara National Research University, Russian Federation
• Samara State University