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Articles 14401 - 14430 of 15842
Full-Text Articles in Entire DC Network
A Technic In Perturbation Theory, G. S. Ladde, S. Leela, V. Lakshmikantham
A Technic In Perturbation Theory, G. S. Ladde, S. Leela, V. Lakshmikantham
Mathematics Technical Papers - Archive
A study of the effect of perturbations of differential equations depends on the method employed and on the nature of perturbations. One of the most used technics is that of Lyapunov method and the other is the nonlinear variation of parameters formula [3]. These methods dictate that we measure the perturbations by means of a norm and thus destroy the ideal nature, if any, of the perturbing terms. Recently an effort was made to correct this unpleasant situation [1,2]. In this paper, we wish to develop a new comparison theorem that connects the solutions of perturbed and unperturbed differential systems …
On The Redundancy Of Monotony Assumption, V. Lakshmikantham
On The Redundancy Of Monotony Assumption, V. Lakshmikantham
Mathematics Technical Papers - Archive
It is well known that all the results in integral inequalities of Bellman-Gronwall-Reid type demand an assumption of monotony on the functions involved. Since the corresponding theory of differential inequalities does not require the monotonic assumption, it is believed that this extra condition is due to the technics employed rather than the necessity. It is also well known that in proving the convergence of successive approximations, it becomes crucial to suppose an additional restriction of monotony on the functions satisfying uniqueness criteria. The question whether this additional assumption is really needed has been open for many years. This problem was …
Not All Bird Nests Fit Popular Concept, Jessie Maye Smith
Not All Bird Nests Fit Popular Concept, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Owl Disc Calls Up Quartet Of Warblers, Jessie Maye Smith
Owl Disc Calls Up Quartet Of Warblers, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Depredations Feared From Parakeet Influx, Jessie Maye Smith
Depredations Feared From Parakeet Influx, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Brazos Bend Site Birders Bonanza, Jessie Maye Smith
Brazos Bend Site Birders Bonanza, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
53 Species Make Endangered List, Jessie Maye Smith
53 Species Make Endangered List, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Loss Of Most Of Mulberry Crop This Season Severe Blow To Birds, Jessie Maye Smith
Loss Of Most Of Mulberry Crop This Season Severe Blow To Birds, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Bird Stories Woven Into Easter Narrative, Jessie Maye Smith
Bird Stories Woven Into Easter Narrative, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Bird Watcher Baffled By Cries In The Night, Jessie Maye Smith
Bird Watcher Baffled By Cries In The Night, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Maximal And Minimal Solutions And Comparison Results For Differential Equations In Abstract Cones, V. Lakshmikantham, Roger W. Mitchell, A. Richard Mitchell
Maximal And Minimal Solutions And Comparison Results For Differential Equations In Abstract Cones, V. Lakshmikantham, Roger W. Mitchell, A. Richard Mitchell
Mathematics Technical Papers - Archive
As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by means of the extremal solutions of the corresponding differential equation. This comparison principle has been widely employed in studying the qualitative theory of differential equations (see [3]). If we desire to develop a similar comparison result in abstract spaces we must consider cones. These results could be of great value in applications to the theory of differential equations in abstract spaces. First, we must consider existence results for maximal and minimal solutions in cones which can …
Lyapunov-Like Vector Functions Using Pointwise Degenerate Systems As Comparison Functions, Bernard A. Asner, V. Lakshmikantham
Lyapunov-Like Vector Functions Using Pointwise Degenerate Systems As Comparison Functions, Bernard A. Asner, V. Lakshmikantham
Mathematics Technical Papers - Archive
The use of Lyapunov-like vector functions is recognized as an important tool for estimating the behavior of a dynamical system. In applications, one needs to determine a suitable comparison function which contains information or properties that can be used to obtain some information about the behavior of the dynamical system. In recent years, the remarkable property of pointwise degeneracy has been discovered for linear, autonomous, delay-differential equations. For this class of equations one knows that all solutions will reach a subspace in finite time and remain on the subspace thereafter. As this class of equations is particularly simple, it becomes …
Plans For Steel Shot On Bird Hunts Eyed, Jessie Maye Smith
Plans For Steel Shot On Bird Hunts Eyed, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Pair Find Inca Doves On Farm Near Fw, Jessie Maye Smith
Pair Find Inca Doves On Farm Near Fw, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Gulf Trip Cures Itch To View Other Fowl, Jessie Maye Smith
Gulf Trip Cures Itch To View Other Fowl, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
On The Existence Of Solutions Of Differential Equations In A Banach Space, Jerome Eisenfeld, V. Lakshmikantham
On The Existence Of Solutions Of Differential Equations In A Banach Space, Jerome Eisenfeld, V. Lakshmikantham
Mathematics Technical Papers - Archive
The study of Cauchy problem for differential equations in a Banach space has taken two different directions. One approach is to find compactness type conditions [1,2,4,9,14] to guarantee existence of solutions only and the corresponding results are extensions of the classical Peano's Theorem. The other approach is to employ accretive type conditions [9,10,11,12,15] which assure existence as well as uniqueness of solutions. In fact, this latter technic shows that uniqueness conditions imply existence of solutions [16]. In this paper we follow the first direction. Employing Lyapunov-like functions and the notion of the measure of noncompactness, we prove a local existence …
Asymptotic Equilibrium Of Ordinary Differential Systems In A Banach Space, Roger W. Mitchell, A. Richard Mitchell
Asymptotic Equilibrium Of Ordinary Differential Systems In A Banach Space, Roger W. Mitchell, A. Richard Mitchell
Mathematics Technical Papers - Archive
A differential system [see pdf for notation] where [see pdf for notation] has asymptotic equilibrium if 1) for any initial condition [see pdf for notation] the system has a solution [see pdf for notation] existing on and such that [see pdf for notation] exists and is finite, and 2) for any v e B there exists [see pdf for notation] and a solution x(t) of (1)-(2) with [see pdf for notation] Several papers have appeared dealing with asymptotic equilibrium of (1)-(2) when [see pdf for notation], and f is majorized by a scalar function g(t,u) which is monotone in u …
Fixed Point Theorems Through Abstract Cones, Jerome Eisenfeld, V. Lakshmikantham
Fixed Point Theorems Through Abstract Cones, Jerome Eisenfeld, V. Lakshmikantham
Mathematics Technical Papers - Archive
A well-known theorem of Banach states that if T is a mapping on a complete metric space [see pdf for notation] such that for some number [see pdf for notation], the inequality (1.1) [see pdf for notation] holds, then T has a unique fixed point (i.e., a point u such that Tu = u). Extensions of this theorem [1,2] continue to require that T is a contraction i.e., (1.2) [see pdf for notation] This condition is essential if p is a metric but if p takes values in a partially ordered set k, then the condition (1.2) is avoidable. In …
Two Types Of Grebes Observed During Weekend Field Trip At Benbrook, Jessie Maye Smith
Two Types Of Grebes Observed During Weekend Field Trip At Benbrook, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Traveler Follows Gray Whales To Baja California, Sees Wandering Tattler, Jessie Maye Smith
Traveler Follows Gray Whales To Baja California, Sees Wandering Tattler, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Sumps Said To Be Oil And Water Traps For Animals, Jessie Maye Smith
Sumps Said To Be Oil And Water Traps For Animals, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Purple Martin Time Close To Winging In, Jessie Maye Smith
Purple Martin Time Close To Winging In, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
On Perturbing Lyapunov Functions, S. Leela, V. Lakshmikantham
On Perturbing Lyapunov Functions, S. Leela, V. Lakshmikantham
Mathematics Technical Papers - Archive
It is known [2,3] that in proving uniform boundedness of a differential system by means of Lyapunov functions, it is sufficient to impose conditions in the complement of a compact set in [see pdf for notation], whereas, in the case of equiboundedness, the proofs demand that the assumptions hold everywhere in [see pdf for notation]. We wish to present, in this paper, a new idea which permits us to discuss nonuniform properties of solutions of differential equations under weaker assumptions. Our results will show that the equiboundedness can be proved without assuming conditions everywhere in [see pdf for notation] (as …
New Year Brings On Tropic Reminiscence, Jessie Maye Smith
New Year Brings On Tropic Reminiscence, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Clinic Helps Return Stolen Birds To Wilds, Jessie Maye Smith
Clinic Helps Return Stolen Birds To Wilds, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Anna S Hummingbird On Late Forays Here, Jessie Maye Smith
Anna S Hummingbird On Late Forays Here, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Child S Nature Love Enhanced Via Birder, Jessie Maye Smith
Child S Nature Love Enhanced Via Birder, Jessie Maye Smith
Jessie Maye Smith Birds and Watchers Columns Collection
No abstract provided.
Utopia Made Practical: Compulsive Realism, Kenneth M. Roemer
Utopia Made Practical: Compulsive Realism, Kenneth M. Roemer
English Faculty Publications - Archive
No abstract provided.
Essays On American Foreign Policy, David C. Deboe, Van Mitchell Smith, Elliott West, Norman A. Graebner
Essays On American Foreign Policy, David C. Deboe, Van Mitchell Smith, Elliott West, Norman A. Graebner
The Walter Prescott Webb Memorial Lectures - Archive
No abstract provided.
Public Housing In Texas : Past, Present, And Prospective, Texas Advisory Commission On Intergovernmental Relations
Public Housing In Texas : Past, Present, And Prospective, Texas Advisory Commission On Intergovernmental Relations
Documents from the State of Texas-Archive
For more than a generation public housing has been the primary governmental program for providing adequate shelter for low-income families in Texas and across the nation. While several other programs to assist moderate and low-income families secure decent housing have been instituted in recent years, public housing today remains an essential source of shelter for a significant number of Texas families. Public housing is not available in all areas of the state, however, and on a statewide basis public housing is available to only about one-fourth of the families whose incomes are too low to enable them to afford any …