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[PDF] Top 20 On the solvability of some fourth-order equations with functional boundary conditions

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On the solvability of some fourth-order equations with functional boundary conditions

On the solvability of some fourth-order equations with functional boundary conditions

... a fourth order problem composed of a fully nonlinear differential equation and functional boundary conditions satisfying some monotone ...conditions.This functional ... See full document

10

On a Fractional Oscillator Equation with Natural Boundary Conditions

On a Fractional Oscillator Equation with Natural Boundary Conditions

... gave some interesting examples [ 4 ]. To the best of our knowledge, most works in the literature have studied problem (P 1 ) only numerically and with a term f in the right-hand ... See full document

7

Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions

Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions

... give some sufficient conditions for the uniqueness of solutions and for the existence of at least one solution of problem ...(1.1). The first result is based ... See full document

22

First order coupled systems with functional and periodic boundary conditions: existence results and application to an SIRS model

First order coupled systems with functional and periodic boundary conditions: existence results and application to an SIRS model

... has the following structure: Section 2 contains some definitions and generic assumptions on the ...shows the main result for problems with functional boundary ... See full document

11

Higher Order φ-Laplacian BVP with Generalized Sturm–Liouville Boundary Conditions

Higher Order φ-Laplacian BVP with Generalized Sturm–Liouville Boundary Conditions

... Higher order two-point boundary value problems have been studied by several authors such as in [ 7 , 12 ] for n-th order differential equations, in [ 6 , 8 ] for even-order ... See full document

11

A discrete fourth-order Lidstone problem with parameters

A discrete fourth-order Lidstone problem with parameters

... is the usual forward difference operator given by DyðtÞ ¼ yðt þ 1Þ  yðtÞ, D n yðtÞ ¼ D n1 ðDyðtÞÞ, ½c; d Z :¼ fc; c þ 1; ...assumptions on the nature of the nonlinearity f will be ... See full document

12

SOLVABILITY OF HIGHER-ORDER BVPS IN THE HALF-LINE WITH UNBOUNDED NONLINEARITIES

SOLVABILITY OF HIGHER-ORDER BVPS IN THE HALF-LINE WITH UNBOUNDED NONLINEARITIES

... deal with boundary value problems as it provides not only the existence of solution but also its local- ization and, from that, it can be obtained some qualitative data about solutions ... See full document

10

On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay

On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay

... for some positive constant M . Hence (Aϕ) is equicontinuous. Then by the Ascoli-Arzelà theorem we obtain that A is a compact ...to the continuity of all the terms in ... See full document

13

Existence Results for a Second-order Difference Equation with Summation Boundary Conditions at Resonance

Existence Results for a Second-order Difference Equation with Summation Boundary Conditions at Resonance

... Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects, ...Differential Equations 23(1987), 803-810. [2] C. P. ... See full document

5

Non ordered lower and upper solutions to fourth order functional BVP

Non ordered lower and upper solutions to fourth order functional BVP

... to fourth order functional problems and it generalizes, also, boundary value prob- lems with several types of differential equations, such as, delay equations, ... See full document

10

Application of Fractional Order Legendre Polynomials: a New Procedure for   Solution of Linear and Nonlinear Fractional Differential Equations under $m$-point Nonlocal Boundary Conditions

Application of Fractional Order Legendre Polynomials: a New Procedure for Solution of Linear and Nonlinear Fractional Differential Equations under $m$-point Nonlocal Boundary Conditions

... approximate the solution of the above mentioned problems we use Generalized fractional order Legendre polyno- ...solution of fractional order partial differential ... See full document

23

EXISTENCE OF EXTREMAL SOLUTIONS FOR SOME FOURTH

EXISTENCE OF EXTREMAL SOLUTIONS FOR SOME FOURTH

... follow the technique suggested by ...reduced order auxiliary problem together with two algebraic equations, the lower and upper solutions method, a sharp version of Bolzano’s ... See full document

10

Higher order functional boundary value problems: existence and location results

Higher order functional boundary value problems: existence and location results

... obtain the existence and location of the solution and its derivatives up to order n − ...2. The difficulties raised by the functional part of the ... See full document

16

MULTIPLICITY AND LOCATION RESULTS FOR SECOND ORDER FUNCTIONAL BOUNDARY VALUE PROBLEMS

MULTIPLICITY AND LOCATION RESULTS FOR SECOND ORDER FUNCTIONAL BOUNDARY VALUE PROBLEMS

... analysis of parameter dependence has never been applied to problems with functional boundary conditions, as in ...1.2. The functional dependence in the solution ... See full document

11

Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case

Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case

... In the case where no shifts or rotations arise, the theory is already rather com- ...that the Fredholm theory of singular integral operators with piecewise continuous coefficients ... See full document

21

A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions

A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions

... based on Monte Carlo simulations have been used al- ready to solve problems in Science and Engineering modeled by partial differ- ential ...equations. The most important difference compared with ... See full document

28

On some third order nonlinear boundary value problems: existence, location and multiplicity results

On some third order nonlinear boundary value problems: existence, location and multiplicity results

... boundary conditions. From a Nagumo-type growth condition, an a priori estimate on u  is ...solutions. The location part can be used to prove the existence of positive solutions ... See full document

12

Positivity and variational methods in second and fourth order boundary value problems

Positivity and variational methods in second and fourth order boundary value problems

... me the possibility to work with researchers abroad, and to CMAF, by providing all the needed working conditions in Complexo ...Interdisciplinar. The FCT project POCI/MAT/57258/2004 - ... See full document

120

On Solvability of the Nonlinear Optimal Control Problem for Processes Described by the Semi-linear Parabolic Equations

On Solvability of the Nonlinear Optimal Control Problem for Processes Described by the Semi-linear Parabolic Equations

... investigate the solvability of the nonlinear optimal control problem for the process described by semi-linear parabolic ...consider the case when the source function ... See full document

6

On lower and upper solutions method for higher order functional boundary value problems

On lower and upper solutions method for higher order functional boundary value problems

... since the first (n − 3) boundary conditions include values at the right end point of the interval, the general result requires some features that were not evident ... See full document

14

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