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Front Page FilomatPublisher: Faculty of Sciences and Mathematics, NišISSN: 0354-5180Issue: 32_3Date: 2018Journal Homepage

Fixed point theorems for (ϕ − ψ) contractions in partially ordered metric-like spaces using new auxiliary functions 715 - 732
Xiaolan Liu, Mi Zhou, Arslan Hojat Ansari and Nawab Hussain  
AbstractKeywords: Fixed point theorem; auxiliary functions; (ϕ − ψ) contractive conditions; partially ordered metric-like spacesMSC: 47H10; 54H25; 54E50DOI: 10.2298/FIL1803715L
Dunkl generalization of q-Szász-Mirakjan operators which preserve x 2 733 - 747
Mohammad Mursaleen and Shagufta Rahman  
AbstractKeywords: Dunkl analogue; generalization of exponential function; q- Szász-Mirakjan operators; modulus of continuity; Korovkin’s type approximation theorem; Voronovskaja type theoremMSC: 41A25; 33C45; 41A36DOI: 10.2298/FIL1803733M
Necessary optimality condition for the singular controls in an optimal control problem with nonlocal conditions 749 - 757
Ali R Safari, Yagub A Sharifov and Yusif S Gasimov  
AbstractKeywords: Optimal control problem; integral boundary condition; singular controls; Pontryagin’s maximum principle; necessary optimality conditionMSC: 34B10; 34A37; 34H05DOI: 10.2298/FIL1803749S
On the stability of the Schrödinger equation with time delay 759 - 766
Deniz Agirseven  
AbstractKeywords: Time delay; Schrödinger equation; stabilityMSC: 65M12; 65M06DOI: 10.2298/FIL1803759A
A study on certain Köthe spaces 767 - 774
Medine Yeşilkayagil and Feyzi Başar  
AbstractKeywords: Fréchet spaces; Köthe sequence spacesMSC: 46A45DOI: 10.2298/FIL1803767Y
On the differentiation of the functional in distributed optimization problems with imperfect contact 775 - 783
Aigul Manapova  
AbstractKeywords: Optimal control; semi-linear elliptic equation; imperfect contact; diffusion and convective transfer; differentiabilityMSC: 49J50; 35J65; 49M25; 65N06DOI: 10.2298/FIL1803775M
One-dimensional Schrödinger operator with a negative parameter and its applications to the study of the approximation numbers of a singular hyperbolic operator 785 - 790
M B Muratbekov and M M Muratbekov  
AbstractKeywords: Spectrum; resolvent; Schrödinger operator; singular hyperbolic operator; approximation numbersMSC: 47A10; 35L81DOI: 10.2298/FIL1803785M
14-point difference operator for the approximation of the first derivatives of a solution of Laplace's equation in a rectangular parallelepiped 791 - 800
Adiguzel A Dosiyev and Hediye Sarikaya  
AbstractKeywords: Finite difference method; approximation of the first derivatives; error estimations; Laplace’s equation on parallelepipedMSC: 65M06; 65M12; 65M22DOI: 10.2298/FIL1803791D
A note on the nonlocal boundary value problem for a third order partial differential equation 801 - 808
Kh Belakroum, A Ashyralyev and A Guezane-Lakoud  
AbstractKeywords: Well-posedness; boundary value problems; third order partial differential equation; Self-adjoint positive definite operator; Hilbert spaceMSC: 35G15; 47A62DOI: 10.2298/FIL1803801B
Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions 809 - 814
Makhmud Sadybekov, Gulaiym Oralsyn and Mansur Ismailov  
AbstractKeywords: Nonlocal boundary conditions; regular but not strengthened regular conditions; Fourier method; heat source; inverse problem; integral overdetermination conditionMSC: 35K15; 35P10; 35R30DOI: 10.2298/FIL1803809S
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