Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Compact perturbations of linear differential equations in locally convex spaces
Herzog and Lemmert have proven that if E is a Fréchet space and T: E → E is a continuous linear operator, then solvability (in [0,1]) of the Cauchy problem ẋ = Tx, x(0) = x₀ for any x₀ ∈ E implies solvability of the problem ẋ(t) = Tx(t) + f(t,x(t)), x(0) = x₀ for any x₀ ∈ E and any continuous map f: [0,1] × E → E with relatively compact image. We prove the same theorem for a large class of locally convex spaces including: • DFS-spaces, i.e., strong duals of Fréchet-Schwartz spaces,...
Compactness and existence results for ordinary differential equations in Banach spaces.
Compactness condition for boundary value problems
Compactness in certain abstract function spaces with application to differential inclusions
In this note we present a result on compactness in certain Banach spaces of vector valued functions. We demonstrate an application of this result to the questions of existence of solutions of nonlinear differential inclusions on a Banach space.
Compactness of the inverse of the minimal operator for a class of ordinary differential expressions.
Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.
Comparison and oscillation theorems for second order differential equations
Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation.
Comparison of eigenvalues for a fourth-order four-point boundary value problem.
Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations.
Comparison results for elliptic and parabolic equations via Schwarz symmetrization
Comparison results for impulsive delay differential inequalities and equations.
Comparison results for two-dimensional half-linear cyclic differential systems
Two identities of the Picone type for a class of half-linear differential systems in the plane are established and the Sturmian comparison theory for such systems is developed with the help of these new formulas.
Comparison theorem for third-order differential equations
Comparison theorems for deviated differential equations with property .
Comparison theorems for deviated differential equations with property .
Comparison theorems for differential equations of neutral type
We are interested in comparing the oscillatory and asymptotic properties of the equations with those of the equations
Comparison theorems for differential equations with deviating argument
Comparison Theorems for first Order Nonlinear Functional Differebtial Equations