| Introduction to the Series |
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vii | |
| Preface |
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ix | |
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1 | (9) |
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Classes of Functional Equations |
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1 | (3) |
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Equations with Causal Operators |
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4 | (3) |
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Causal Operators in Applications |
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7 | (3) |
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10 | (21) |
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10 | (6) |
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16 | (6) |
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Operators on Function Spaces |
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22 | (6) |
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Fixed Points and Other Auxilary Results |
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28 | (3) |
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Existence theory for Functional equations with causal operators |
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31 | (48) |
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The Equation x(t) = (Vx)(t) in the Space of Continuous Functions |
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31 | (6) |
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The Equation x(t) = (Vx)(t) in Spaces of Measurable Functions |
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37 | (6) |
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Existence and Approximations of Solution by Means of the Singular Perturbation Technique |
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43 | (3) |
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Global Existence Results for Functional Equations with Causal Operators |
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46 | (10) |
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Some Global Results of Existence and Uniqueness |
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56 | (9) |
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65 | (6) |
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Initial Value Problems of the Second Kind for Functional Differential Equations |
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71 | (8) |
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Linear and quasilinear equations with causal operators |
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79 | (22) |
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Global Existence and Uniqueness for Linear Functional Differntial Equations |
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79 | (2) |
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Global Existence and Uniqueness for Linear Functional Equations |
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81 | (3) |
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Integral Representation of Solutions of Linear Functional Differential Equations |
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84 | (5) |
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Initial Value Problems with Functional Data for Linear Functional Differential Equations |
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89 | (3) |
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Quasilinear Functional Equations |
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92 | (6) |
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Two-Point Boundary Value Problems |
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98 | (2) |
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100 | (1) |
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101 | (22) |
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Definition and Generalities |
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101 | (2) |
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Stability of Linear Systems |
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103 | (7) |
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Stability of Quasilinear Systems |
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110 | (4) |
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Comparison Method in Stability |
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114 | (5) |
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119 | (4) |
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Neutral functional equations |
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123 | (14) |
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The Concept of Neutral Functional Equation with Causal Operators |
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123 | (1) |
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Existence Results in the Continuous Case |
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124 | (5) |
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Existence Results in Spaces of Measurable Functions |
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129 | (2) |
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More Results on Neutral Functional Differential Equations |
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131 | (3) |
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The Linear and Quasilinear Cases |
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134 | (3) |
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Miscellanea (applications and generalizations) |
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137 | (18) |
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A Linear-Quadratic Optimal Control Problem with Causal Operators |
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137 | (5) |
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A Maximum Principle Approach |
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142 | (2) |
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Asymptotic Behavior in Second-Order Systems |
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144 | (4) |
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Global Existence for the Equation x(t) = (Lx)(t) + (Nx)(t) |
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148 | (2) |
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Review of Further Results and Topics |
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150 | (5) |
| Appendix |
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155 | (5) |
| References |
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160 | (7) |
| Index |
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167 | |
Lisainfo e-raamatute kohta