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[PDF] Top 20 A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem

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A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem

A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem

... of boundary value problems are more difficult than those of initial value problems [4, page 629], and by the need for a simple criterion to determine whether a boundary value ... See full document

9

A necessary and sufficient condition for global existence for a quasilinear reaction diffusion system

A necessary and sufficient condition for global existence for a quasilinear reaction diffusion system

... Proof. Necessity. Without loss of generality, assume that a > 0, and problem (1.4) has solution (y,z). Then y g (y) = z f (z), which gives d/dt[G(y) − F(z)] = 0. Thus there is a constant K so that G(y) = ... See full document

10

On the Nonexistence and Existence of Solutions for a Fourth Order Discrete Boundary Value Problem

On the Nonexistence and Existence of Solutions for a Fourth Order Discrete Boundary Value Problem

... Theorem 3.1 gives a set of sufficient conditions on the nonexistence of solutions of BVP 1.5. In this section, with part of the conditions being violated, we establish the existence of solutions of BVP 1.5 by ... See full document

18

Existence and multiple solutions to a discrete fourth order boundary value problem

Existence and multiple solutions to a discrete fourth order boundary value problem

... the existence and multiple solutions of discrete boundary value ...the existence and multiple solutions to the boundary value problem (BVP for short) ... See full document

13

M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions

M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions

... - Sufficient conditions for the existence of solutions for a class of m-point boundary value problem involving Caputo fractional derivative are established using fixed point ... See full document

7

The Existence and Multiplicity of Solutions for Singular Boundary Value Systems with p Laplacian

The Existence and Multiplicity of Solutions for Singular Boundary Value Systems with p Laplacian

... presents sufficient conditions for the existence of positive solutions for the fourth-order boundary value problem system with p-Laplacian ...The existence of single or multiple ... See full document

6

On the Solvability of Nonlinear Discrete Multipoint Boundary Value Problems

On the Solvability of Nonlinear Discrete Multipoint Boundary Value Problems

... homogoneous boundary value problem has non- trivial solutons, however, for completeness, we do consider the case when the linear problem has only the trivial ...provide sufficient ... See full document

62

On the existence of nonnegative solutions for a class of fractional boundary value problems

On the existence of nonnegative solutions for a class of fractional boundary value problems

... paper, sufficient conditions for the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation are ...the existence of solutions ... See full document

10

The global attractor of the 2D Boussinesq system with fractional vertical dissipation

The global attractor of the 2D Boussinesq system with fractional vertical dissipation

... global existence of strong solutions for small initial data, and in [], obtained the global ex- istence of weak solutions and the local existence of strong solutions for general initial ...the ... See full document

21

Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales

Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales

... positive solutions is given by constructing upper and lower solutions and with the maximum principle. The nonlinearity ft, x may be singular at t 0 and/or t 1. By singularity we mean that the functions f in 1.1 is ... See full document

14

Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model

Global existence and exponential stability for the strong solutions in \(H^{2}\) to the 3-D chemotaxis model

... global existence of a unique strong solution to the initial boundary value problem for the 3-D chemotaxis model on a bounded domain with slip boundary condition ... See full document

13

A singularly perturbed linear two point boundary value problem

A singularly perturbed linear two point boundary value problem

... 28, we can use the asymptotic expansion of the solution of the special boundary-value problem to state sufficient conditions for the.. ence of a unique solution of the geaeral boundary- [r] ... See full document

128

Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations

Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations

... equation boundary value problems (BVP for short) arise from many branches of applied mathematics and ...singular boundary value problems has become an important area of investigation in recent ... See full document

14

Convergence rate of solutions toward stationary solutions to the bipolar Navier-Stokes-Poisson equations in a half line

Convergence rate of solutions toward stationary solutions to the bipolar Navier-Stokes-Poisson equations in a half line

... the solution for (.)-(.). As the existence of the higher-order derivatives of the solution is not supposed, we need to use the difference quotient for the rigorous derivation of the higher-order ... See full document

22

A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations

A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations

... local existence property holds, and another in [12] to establish instantaneous blow-up for singular initial data even when all solutions of the corresponding ODE exist globally in ... See full document

12

Existence of solutions for a class of biharmonic equations with the Navier boundary value condition

Existence of solutions for a class of biharmonic equations with the Navier boundary value condition

... elliptic problem has been studied by many ...the existence of infinitely many solutions for the problem ...the problem (.) is con- cerned, existence results of sign-changing solutions ... See full document

9

Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz–Sobolev spaces

Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz–Sobolev spaces

... for example, they are non-homogeneous. In the case of λ = 0, problem (1.1) is studied in [27, 28], but their hypotheses do not apply when the concave terms are present. Fur- thermore, multiplicity results are ... See full document

13

Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems

Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems

... The existence and uniqueness of the solution V, q of Problem 2 can be easily obtained from that of the solution u, q of Problem ...the solution of Problem 2. We show that ... See full document

12

On the existence of solution of a two point boundary value problem in a cylindrical floating zone

On the existence of solution of a two point boundary value problem in a cylindrical floating zone

... a constant to be determined. Assuming that the dimensionless pressure p is a qua- dratic function of y, we find that the r -component of the acceleration equation in the Navier-Stokes energy system describing the flow of ... See full document

9

XSITRAY: A Database for the Detection of Osteoporosis Condition

XSITRAY: A Database for the Detection of Osteoporosis Condition

... The images are harvested physically and hoarded as discrete images in ‘png’ (portable network graphics) format. The detailed information about the X Ray scan images of all the subjects, have also been delivered in ... See full document

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