• Journal of the Korean Mathematical Society
• /
• v.50 no.6
• /
• pp.1257-1269
• /
• 2013

Using the three critical points theorem by B. Ricceri [23], we obtain a multiplicity result for a class of nonlocal problems in Orlicz-Sobolev spaces. To our knowledge, this is the first contribution to the study of nonlocal problems in this class of functional spaces.

• Kyungpook Mathematical Journal
• /
• v.51 no.2
• /
• pp.165-175
• /
• 2011

The purpose of this note is to give Opial type inequalities with nonlocal conditions. Also, a reverse of the original inequality with y(a) = y(b) = 0 is derived. We apply these inequalities to second-order differential equations with nonlocal conditions to derive several necessary conditions for the existence of solutions.

• Advances in concrete construction
• /
• v.10 no.4
• /
• pp.345-355
• /
• 2020

In this paper, vibration characteristics of double-walled carbon nanotubes (CNTs) is studied based upon nonlocal elastic shell theory. The significance of small scale is being perceived by developing nonlocal Love shell model. The wave propagation approach has been utilized to frame the governing equations as eigen value system. The influence of nonlocal parameter subjected to diverse end supports has been overtly analyzed. An appropriate selection of material properties and nonlocal parameter has been considered. The influence of changing mechanical parameter Poisson's ratio has been investigated in detail. The dominance of boundary conditions via nonlocal parameter is shown graphically. The results generated furnish the evidence regarding applicability of nonlocal shell model and also verified by earlier published literature.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.9 no.2
• /
• pp.65-74
• /
• 2005

In this paper we prove the existence of solutions of fuzzy delay integrodifferential equations with nonlocal condition. The results are obtained by using the fixed point principles.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.6 no.1
• /
• pp.81-89
• /
• 2002

In this paper we prove the existence of solutions of fuzzy delay differential equations with nonlocal condition. The results are obtained by using the fixed point principles.

• Communications of the Korean Mathematical Society
• /
• v.22 no.1
• /
• pp.53-64
• /
• 2007

In this paper, we apply the generalized quasilinearization technique to a forced Duffing equation with three-point mixed nonlinear nonlocal boundary conditions and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.

• Communications of the Korean Mathematical Society
• /
• v.35 no.2
• /
• pp.517-532
• /
• 2020

In this paper, we consider a class of nonlocal problems with indefinite weights in Orlicz-Sobolev space. Under some suitable conditions on the nonlinearities, we establish some existence results using variational techniques and Ekeland's variational principle.

• Communications of the Korean Mathematical Society
• /
• v.14 no.1
• /
• pp.223-231
• /
• 1999

In this paper we prove the existence of solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal conditions. The results are obtained by using compact semigroups and the Schauder fixed point theorem.

• Bulletin of the Korean Mathematical Society
• /
• v.38 no.1
• /
• pp.175-182
• /
• 2001

In this paper we prove the existence and uniqueness of a mild solution of a functional differential equation with nonlocal condition using the semigroup theory and the Banach fixed point principle.

• East Asian mathematical journal
• /
• v.32 no.5
• /
• pp.621-633
• /
• 2016

We establish the existence of positive solutions to nonlocal boundary value problems with integral boundary condition and non-negative real boundary parameter by mainly using the Schauder-Fixed point theorem.