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upper and lower solution

Upper and lower solution method for nth-order BVPs on an infinite interval

Upper and lower solution method for nth-order BVPs on an infinite interval

... The problems related to global solutions, especially when the boundary data are pre- scribed asymptotically and the solutions may be unbounded, have been briefly discussed in [, ]. Recently, Yan et al. [] developed ...

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Single upper solution or lower solution method for Langevin equations with two fractional orders

Single upper solution or lower solution method for Langevin equations with two fractional orders

... single upper- solution or lower-solution method and a monotone iterative approach to consider the following initial value problem of Langevin equations involving two fractional ...

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Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions

Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions

... of lower and upper solutions to study the existence of an extremal mild solution for a class of fractional evolution equation is an interesting issue, which has been the focus of attention in [9, 10, ...

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Multiple unbounded solutions for a boundary value problem on infinite intervals

Multiple unbounded solutions for a boundary value problem on infinite intervals

... of upper and lower solution method to discuss the infinite interval problem, most of the results are concerned with the existence of the bounded or positive ...the lower and upper ...

8

The first and second expansion of large solutions for quasilinear elliptic equations with weight functions

The first and second expansion of large solutions for quasilinear elliptic equations with weight functions

... the solution u(x) in terms of d(x) is independent of the geometry of the domain, whereas the second-order asymptotic expansion of the solution u(x) depends linearly on the mean curvature of the boundary of ...

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Monotone Iterative Technique and Ulam-Hyers Stability Analysis for Nonlinear Fractional Order Differential Equations  with Integral Boundary Value Conditions

Monotone Iterative Technique and Ulam-Hyers Stability Analysis for Nonlinear Fractional Order Differential Equations with Integral Boundary Value Conditions

... with upper and lower solution to study existence, uniqueness, error estimates and plotting of the iterative extremal solutions of nonlinear fractional differen- tial equations with integral boundary ...

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Existence criterion for the solutions of fractional order p-Laplacian boundary value problems

Existence criterion for the solutions of fractional order p-Laplacian boundary value problems

... positive solution for FOBVP with p-Laplacian operator has extensively attracted the attention of the scientific ...positive solution for a q-FOBVP with a p-Laplacian operator using the upper and ...

10

The unique solution for periodic differential equations with upper and lower solutions in reverse order

The unique solution for periodic differential equations with upper and lower solutions in reverse order

... the upper and lower solution method together with the iterative technique is a powerful tool for proving the existence results for boundary value problems (see [–] and the references ...the ...

12

Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems

Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems

... numerical solution for the discretization of semilinear elliptic complementarity ...the upper and lower solutions of the ...of upper and lower solution iterates and ...

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Reaction-Diffusion Systems with Discontinuous Reaction Functions

Reaction-Diffusion Systems with Discontinuous Reaction Functions

... of upper-lower solution technique and Schauder fixed point theorem, we proved the existence of the ...the upper and lower ...ordered upper and lower solutions of the ...

105

Upper and lower bounds for the Bregman divergence

Upper and lower bounds for the Bregman divergence

... challenging case, since for x – y → ∞ the Bregman divergence x F ∗ (y, x) will mostly de- pend on the behavior of F(y) as y tends to infinity and it should be easy to find lower and upper bounds. In ...

12

Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation

Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation

... Fractional differential equation can be extensively applied to various disciplines such as physics, mechanics, chemistry, and engineering, see 1–3. Hence, in recent years, fractional differential equations have been of ...

12

Sub zero temperature mechanically stable low molecular weight hydrogels

Sub zero temperature mechanically stable low molecular weight hydrogels

... 20 : 80, the freezing point was 22 1 C, the gel at 40 : 60 27 1 C and the gel at 60 : 40 did not freeze at 40 1 C, which is the lowest temperature to which the rheometer is able to achieve. Interestingly the freezing ...

6

Dexmedetomidine as a sole sedative agent versus propofol for sedation during upper and lower gastrointestinal endoscopies

Dexmedetomidine as a sole sedative agent versus propofol for sedation during upper and lower gastrointestinal endoscopies

... Upper and lower endoscopies were carried out in the usual standard manner for all patients and after routine preparations. Infusion was discontinued at the end of the procedure, and the recovery time was ...

6

School bussing in primary and lower secondary, upper secondary education in turkish education system

School bussing in primary and lower secondary, upper secondary education in turkish education system

... primary education. With the start of continuous and compulsory education of eight years, it is discussed how students in small residential units will take the advantage of this practice. It is expensive to carry enough ...

6

Two Point Boundary Value Problems for a Class of Second Order Ordinary Differential Equations

Two Point Boundary Value Problems for a Class of Second Order Ordinary Differential Equations

... In the third section, we construct solutions of the aforementioned problems by an iterative method based on the existence of an ordered couple α, β of a lower and an upper solution. This method has ...

14

Exploration of the Robustness of Plans

Exploration of the Robustness of Plans

... the trajectories rely on executives that cannot meet the de- mand for arbitrary precision. The authors observe that a trajectory in a hybrid automaton can be technically valid, according to the formal definition of ...

8

On the Upper Murree-Lower Siwalik Provenance

On the Upper Murree-Lower Siwalik Provenance

... In Kathua, Jammu and Udhampur districts of Jammu province of J&K also, the Kamlials are not differentiable from the Upper Murrees because both these units exhibit the same lithology [r] ...

5

The performance of a capacitance wire wave recorder

The performance of a capacitance wire wave recorder

... probe operating in 35/-' salt solution using 76kHz circuit Upper trace Lower trace.. probe operating in 2^o wetting agent solution using 76kHz circuit..[r] ...

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Measurement of Lower and Upper IMT from Ultrasound Video Frames

Measurement of Lower and Upper IMT from Ultrasound Video Frames

... components. Operations on binary images are thinning, thickening, dilating, finding branch points and endpoints, removing isolated pixels, shifting and breaking connections based on structuring element. Since the pixels ...

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