Existence and uniqueness results for perturbed Neumann boundary value problems.
Existence and uniqueness theorems for fourth-order boundary value problems
We establish the existence and uniqueness theorems for a linear and a nonlinear fourth-order boundary value problem. The results obtained generalize the results of Usmani [4] and Yang [5]. The methods used are based, in principle, on [3], [5].
Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems.
Existence and uniqueness theorems for third order boundary value problems
Existence criteria for singular boundary value problems with -Laplacian operators.
Existence criterions for generalized solutions of functional boundary value problems without growth restrictions
Existence, multiplicity, and bifurcation in systems of ordinary differential equations.
Existence, multiplicity and infinite solvability of positive solutions for -Laplacian dynamic equations on time scales.
Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale
We consider the existence of at least one positive solution to the dynamic boundary value problem where is an arbitrary time scale with and satisfying , , , , and where the boundary conditions at and can be both nonlinear and nonlocal. This extends some recent results on second-order semipositone dynamic boundary value problems, and we illustrate these extensions with some examples.
Existence of a positive solution to a right focal boundary value problem.
Existence of almost automorphic solutions to some classes of nonautonomous higher-order differential equations.
Existence of concave positive solutions for boundary value problem of nonlinear fractional differential equation with -Laplacian operator.
Existence of countably many positive solutions for th-order -point boundary-value problems on time scales.
Existence of extremal solutions of a three-point boundary value problem for a general second order -Laplacian integro-differential equation.
Existence of maximal and minimal solutions to a boundary value problem for the equation of the bending of an elastic beam.
Existence of mild solutions for fractional evolution equations with nonlocal initial conditions
This paper discusses the existence of mild solutions for a class of semilinear fractional evolution equations with nonlocal initial conditions in an arbitrary Banach space. We assume that the linear part generates an equicontinuous semigroup, and the nonlinear part satisfies noncompactness measure conditions and appropriate growth conditions. An example to illustrate the applications of the abstract result is also given.
Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions
This paper is concerned with the existence of mild solutions for impulsive semilinear differential equations with nonlocal conditions. Using the technique of measures of noncompactness in Banach and Fréchet spaces of piecewise continuous functions, existence results are obtained both on bounded and unbounded intervals, when the impulsive functions and the nonlocal item are not compact in the space of piecewise continuous functions but they are continuous and Lipschitzian with respect to some measure...
Existence of multiple positive solutions for discrete problems with -Laplacian via variational methods.
Existence of multiple positive solutions for third-order boundary-value problem on the half-line with dependence on the first order derivative.
Existence of multiple positive solutions of higher order multi-point nonhomogeneous boundary value problem.