TY - JOUR

T1 - Existence of Solutions to the Non-Self-Adjoint Sturm–Liouville Problem with Discontinuous Nonlinearity

AU - Baskov, O.V.

AU - Potapov, D.K.

PY - 2024/6/1

Y1 - 2024/6/1

N2 - Abstract: We examine the existence of solutions to the Sturm–Liouville problem with a non-self-adjoint differential operator and discontinuous nonlinearity in the phase variable. For positive values of the spectral parameter, theorems on the existence of nontrivial (positive and negative) solutions of the problem are proved. Examples illustrating the theorems are given.

AB - Abstract: We examine the existence of solutions to the Sturm–Liouville problem with a non-self-adjoint differential operator and discontinuous nonlinearity in the phase variable. For positive values of the spectral parameter, theorems on the existence of nontrivial (positive and negative) solutions of the problem are proved. Examples illustrating the theorems are given.

KW - Sturm–Liouville problem

KW - discontinuous nonlinearity

KW - non-self-adjoint differential operator

KW - nontrivial solutions

UR - https://www.mendeley.com/catalogue/2fb4c158-5275-34c3-b085-481a0771752f/

U2 - 10.1134/s0965542524700489

DO - 10.1134/s0965542524700489

M3 - Article

VL - 64

SP - 1254

EP - 1260

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 6

ER -