[PDF] Top 20 Monotone iterative method for differential systems with coupled integral boundary value problems

... with coupled boundary value conditions is an impor- tant branch of nonlinear ...with coupled boundary value conditions appears often in investigations connected with math- ... See full document

... The differential equation in a certain domain satisfying some given conditions is referred to as boundary-value ...moving boundary problem [1] ...the boundary condition, then the ... See full document

... ary value problems with integral boundary conditions are applied in different industries and fields, for instance, thermal conduction, chemical engineering, semiconductor, under- ground water ... See full document

... It is well known that third-order equations arise from many branches of applied mathe- matics and physics. For example, in the deflection of a curved beam having a constant or varying cross section, a three layer beam, ... See full document

... of systems and processes in the fields of physics, chem- istry, aerodynamics, electro-dynamics of a complex medium, polymer rheology, and so ...therein. Integral boundary conditions have various ... See full document

... a monotone iterative technique to investigate the positive solutions of BVP ...is systems of multipoint boundary value problem and nonlinear term permits singularity not only at t 0 but ... See full document

... similar problems have been studied in [7, 10, 11, 13, 21] by using the energetic method and the Rothe time-discretization ...and integral condition. For other problems with nonlocal ... See full document

... Recently, iterative methods have been successfully employed to prove the existence of solutions or positive solutions of nonlinear ...tegral boundary conditions, the main tool used was monotone ... See full document

... Using coupled lower and upper solutions we develop the generalized monotone iterative technique to solve Caputo fractional integro-differential equation of order q with periodic ... See full document

... classical differential equations. In last few years, for initial value problems of FDEs, the Ulam type stability has been well investigated in many articles for detail see ...with integral ... See full document

... the monotone iterative method to study the existence of positive solutions for boundary value problems of nonlinear fractional q-difference equations with integral ... See full document

... Recently, this method has been extended to causal differential equations. Its theory has the powerful quality of unifying ordinary differential equations, integro differential equa- tions, differential equations with ... See full document

... with integral jump conditions. By using the method of upper and lower solutions and the monotone iterative technique, we obtain the existence of an extreme solution of PBVP ... See full document

... The monotone iterative technique coupled with the method of upper and lower solu- tions is a powerful scheme applied to approximate solutions to differential equations of arbitrary order as ... See full document

... the monotone iterative technique combined with the method of upper and lower solutions, we have investigated the existence of extremal solutions for nonlinear fractional differential systems ... See full document

... thermal systems, rheology, materials and mechanical systems, robotics, ...p-Laplacian boundary value problems also received considerable attention, for example, see ...with ... See full document

... Boundary value problems for nonlinear fractional differential equations have been investigated by several researchers ...recently. Integral boundary conditions have various ... See full document

... and monotone convergence theorem of Henstock-Kurzweil integral, we investigate the existence of continuous solutions for the second order boundary value problems with integral ... See full document

... By using Banach contraction mapping principle, the writers gave some new results for existence and uniqueness of positive solutions for the above problem in [12]. As far as we can see, there are still very few papers ... See full document

... In Theorem 3.1, if E is weakly sequentially complete, condition H3 and H4 hold automatically. In fact, by Theorem 2.2 in 12, any monotonic and order-bounded sequence is precompact. By the monotonicity 3.6 and the same ... See full document